{"id":103,"date":"2021-02-01T15:12:25","date_gmt":"2021-02-01T22:12:25","guid":{"rendered":"https:\/\/faculty.uccs.edu\/goman\/?page_id=103"},"modified":"2026-06-23T00:17:19","modified_gmt":"2026-06-23T06:17:19","slug":"publications","status":"publish","type":"page","link":"https:\/\/faculty.uccs.edu\/goman\/publications\/","title":{"rendered":"C.V. &amp; Publications"},"content":{"rendered":"\n<p class=\"wp-block-paragraph\"><em><strong>CURRICULUM VI<\/strong><\/em><strong><em>TA<\/em><\/strong> (<em>always current)<\/em><br><a href=\"https:\/\/faculty.uccs.edu\/goman\/wp-content\/uploads\/sites\/15\/2026\/06\/626cv.pdf\">c.v.<\/a><br><br><em><strong>PUBLICATIONS<\/strong><\/em> (<em>below, ** denotes an undergraduate coauthor and * denotes a graduate student coauthor; manuscripts in preparation or under review not listed<\/em>)<br><br><strong>Refereed Research Papers<\/strong><br>[61] <em><a href=\"https:\/\/faculty.uccs.edu\/goman\/wp-content\/uploads\/sites\/15\/2025\/12\/czech.pdf\">Extending subgroup and subring isomorphisms to automorphisms<\/a><\/em>, Czechoslovak Mathematical Journal, to appear, 13 pages.<br>[60] <em><a href=\"https:\/\/faculty.uccs.edu\/goman\/wp-content\/uploads\/sites\/15\/2023\/10\/Egyptianfinal.pdf\">From ancient Egyptian fractions to modern algebra<\/a> <\/em>(with <a href=\"https:\/\/im.uj.edu.pl\/en_GB\/instytut\/pracownik?id=567\" data-type=\"URL\" data-id=\"https:\/\/im.uj.edu.pl\/en_GB\/instytut\/pracownik?id=567\">Lorenzo Guerrieri<\/a> and Alan Loper), Journal of Algebra and Its Applications <strong>25<\/strong> (2026), no. 8, 2650078, 17 pp.<br>[59] <em><a href=\"https:\/\/faculty.uccs.edu\/goman\/wp-content\/uploads\/sites\/15\/2024\/08\/unifyingringtheory.pdf\">Unifying some classical results on Artinian rings and modules<\/a><\/em> (with <a href=\"https:\/\/mathematics.colostate.edu\/person\/?id=28E368EF5055F7A2CCBBCBF304163EF8&amp;sq=t\">Donovan Leyba<\/a>** and <a href=\"https:\/\/academics.uccs.edu\/zmesyan\/\">Zak Mesyan<\/a>), Communications in Algebra <strong>53<\/strong> (2025), no. 2, 723-729.<br>[58] <em><a href=\"https:\/\/faculty.uccs.edu\/goman\/wp-content\/uploads\/sites\/15\/2022\/09\/Glasgow-Submission-G.-Omanrevised.pdf\" data-type=\"URL\" data-id=\"https:\/\/faculty.uccs.edu\/goman\/wp-content\/uploads\/sites\/15\/2022\/09\/Glasgow-Submission-G.-Omanrevised.pdf\">A characterization of potent rings<\/a><\/em>, Glasgow Mathematical Journal <strong>65<\/strong> (2023), no.\u00a02, 324-327.<br>[57] <em><a href=\"https:\/\/faculty.uccs.edu\/goman\/wp-content\/uploads\/sites\/15\/2022\/07\/Involve-Submission-Oman-Senkoff-revision2.pdf\" data-type=\"URL\" data-id=\"https:\/\/faculty.uccs.edu\/goman\/wp-content\/uploads\/sites\/15\/2022\/07\/Involve-Submission-Oman-Senkoff-revision2.pdf\">Almost strongly unital rings<\/a><\/em> (with <a href=\"https:\/\/www.linkedin.com\/in\/evan-senkoff-471132184\" data-type=\"URL\" data-id=\"https:\/\/www.linkedin.com\/in\/evan-senkoff-471132184\">Evan Senkoff<\/a>**), Involve <strong>16<\/strong> (2023), no. 3, 453-465.<br>[56] <a href=\"https:\/\/faculty.uccs.edu\/goman\/wp-content\/uploads\/sites\/15\/2022\/11\/Countably-coverable-ringsrevised.pdf\"><em>Countably coverable rings<\/em><\/a> (with <a href=\"https:\/\/sites.google.com\/site\/njwernermath\/homepage-of-nick-werner\">Nick Werner<\/a>), Communications in Algebra <strong>51<\/strong> (2023), no. 7,\u00a02748-2758.<br>[55] <em><a href=\"https:\/\/faculty.uccs.edu\/goman\/wp-content\/uploads\/sites\/15\/2022\/11\/Mediterranean-Journal-Submission-Oman.pdf\">Unital rings with cardinality restrictions on unital subrings<\/a><\/em>, Mediterranean Journal of Mathematics <strong>20<\/strong> (2023), no. 1, Paper Number 14, 13 pp.<br>[54] <a href=\"https:\/\/faculty.uccs.edu\/goman\/wp-content\/uploads\/sites\/15\/2021\/02\/JAA-Submission-Harmon-Oman-4-14-20.pdf\"><em>Modules whose submodule lattice is lower finite<\/em><\/a> (with <a href=\"https:\/\/appliedmath.ucmerced.edu\/content\/luke-harmon\">Luke Harmon<\/a>*), Journal of Algebra and Its Applications <strong>20<\/strong> (2021), no. 12, 2150230, 16 pp.<br>[53] <a href=\"https:\/\/faculty.uccs.edu\/goman\/wp-content\/uploads\/sites\/15\/2021\/02\/Archiv-der-mathematik-submission-revised_0.pdf\"><em>A characterization of large Dedekind domains<\/em><\/a>, Archiv der Mathematik <strong>115<\/strong> (2020), no. 2, 159-168.<br>[52] <a href=\"https:\/\/faculty.uccs.edu\/goman\/wp-content\/uploads\/sites\/15\/2021\/02\/Communications-in-Algebra-Submission-revised.pdf\"><em>Rings with arithmetical closure properties relative to the prime spectrum and its complement<\/em><\/a>, Communications in Algebra <strong>48<\/strong> (2020), no. 5, 2041-2050.<br>[51] <em><a href=\"https:\/\/faculty.uccs.edu\/goman\/wp-content\/uploads\/sites\/15\/2021\/02\/Involve-Submission-Oman-Stroud-6-19-20-revision_0.pdf\">Rings whose subrings have an identity<\/a><\/em> (with <a href=\"https:\/\/scholar.google.com\/citations?user=H4rzLGgAAAAJ&amp;hl=en\">John Stroud<\/a>**), Involve <strong>13<\/strong> (2020), no. 5, 823-828.<br>[50] <a href=\"https:\/\/faculty.uccs.edu\/goman\/wp-content\/uploads\/sites\/15\/2021\/02\/JA-Submission-Loper-Mesyan-Oman-second-revision.pdf\"><em>An infinite cardinal-valued Krull dimension for rings<\/em><\/a> (with Alan Loper and <a href=\"https:\/\/academics.uccs.edu\/zmesyan\/\">Zak Mesyan<\/a>), Journal of Algebra <strong>517<\/strong> (2019), 223-248.<br>[49] <a href=\"https:\/\/faculty.uccs.edu\/goman\/wp-content\/uploads\/sites\/15\/2021\/02\/Infinite-sums-in-totally-ordered-abelian-groups.pdf\"><em>Infinite sums in totally ordered abelian groups<\/em><\/a> (with <a href=\"https:\/\/www.linkedin.com\/in\/caitlin-randall-407663188\" data-type=\"URL\" data-id=\"https:\/\/www.linkedin.com\/in\/caitlin-randall-407663188\">Caitlin Randall<\/a>** and Logan Robinson**), Involve <strong>12<\/strong> (2019), no. 2, 281-300.<br>[48] <a href=\"https:\/\/faculty.uccs.edu\/goman\/wp-content\/uploads\/sites\/15\/2021\/02\/JCA-submission-final-version.pdf\"><em>Residually small commutative rings<\/em><\/a> (with <a href=\"https:\/\/www.kettering.edu\/academics\/college-sciences-liberal-arts\/department-mathematics\" data-type=\"URL\" data-id=\"https:\/\/www.kettering.edu\/academics\/college-sciences-liberal-arts\/department-mathematics\">Adam Salminen<\/a>), Journal of Commutative Algebra <strong>10<\/strong> (2018), no. 2, 187-211.<br>[47] <a href=\"https:\/\/faculty.uccs.edu\/goman\/wp-content\/uploads\/sites\/15\/2021\/02\/Communications-Submission-Oman-Salminen-final-version.pdf\"><em>Residual smallness in commutative algebra<\/em><\/a> (with <a href=\"https:\/\/www.kettering.edu\/academics\/college-sciences-liberal-arts\/department-mathematics\" data-type=\"URL\" data-id=\"https:\/\/www.kettering.edu\/academics\/college-sciences-liberal-arts\/department-mathematics\">Adam Salminen<\/a>), Communications in Algebra <strong>46<\/strong> (2018), no. 5, 2109-2122.<br>[46] <a href=\"https:\/\/faculty.uccs.edu\/goman\/wp-content\/uploads\/sites\/15\/2021\/02\/Rings-isomorphic-to-their-nontrivial-subrings.pdf\"><em>Rings isomorphic to their nontrivial subrings<\/em><\/a> (with <a href=\"https:\/\/www.uccs.edu\/mathcenter\/staff\/jacob-lojewski\">Jacob Lojewski<\/a>**), Involve <strong>11<\/strong> (2018), no. 5, 877-883.<br>[45] <a href=\"https:\/\/faculty.uccs.edu\/goman\/wp-content\/uploads\/sites\/15\/2021\/02\/Algebra-Universalis-Submission-G.-Oman.pdf\"><em>Elementarily lambda-homogeneous binary functions<\/em><\/a>, Algebra Universalis <strong>78<\/strong> (2017), no. 2, 147-157.<br>[44] <a href=\"https:\/\/faculty.uccs.edu\/goman\/wp-content\/uploads\/sites\/15\/2021\/02\/Factorization-theory-of-root-closed-monoids-of-small-rank.pdf\"><em>Factorization theory of root closed monoids of small rank<\/em><\/a> (with <a href=\"http:\/\/jcoyken.people.clemson.edu\/\">Jim Coykendall<\/a>), Communications in Algebra <strong>45<\/strong> (2017), no. 7, 2795-2808.<br>[43] <a href=\"https:\/\/faculty.uccs.edu\/goman\/wp-content\/uploads\/sites\/15\/2021\/02\/Houston-Journal-Submission-Oman-Salminen-upgrade_0.pdf\"><em>Polynomial and power series rings with finite quotients<\/em><\/a> (with <a href=\"https:\/\/www.kettering.edu\/academics\/college-sciences-liberal-arts\/department-mathematics\" data-type=\"URL\" data-id=\"https:\/\/www.kettering.edu\/academics\/college-sciences-liberal-arts\/department-mathematics\">Adam Salminen<\/a>), Houston Journal of Mathematics <strong>43<\/strong> (2017), no. 1, 31-38.<br>[42] <em><a href=\"https:\/\/faculty.uccs.edu\/goman\/wp-content\/uploads\/sites\/15\/2021\/02\/Real-Analysis-Exchange-Submission-Berndt-Oman-revised.pdf\">Turning automatic continuity around: automatic homomorphisms<\/a><\/em> (with <a href=\"http:\/\/faculty.otterbein.edu\/rberndt\/Site\/Welcome.html\">Ryan Berndt<\/a>), Real Analysis Exchange <strong>41<\/strong> (2016), no. 2, 271-286.<br>[41] <a href=\"https:\/\/faculty.uccs.edu\/goman\/wp-content\/uploads\/sites\/15\/2021\/02\/Reports-on-Mathematical-Logic-Submission-G.-Oman-REVISED.pdf\"><em>Unifying some notions of infinity in ZC and ZF<\/em><\/a>, Reports on Mathematical Logic <strong>51<\/strong> (2016), 43-56.<br>[40] <a href=\"https:\/\/faculty.uccs.edu\/goman\/wp-content\/uploads\/sites\/15\/2021\/02\/Journal-of-Algebra-Submission-G.-Oman-REVISED.pdf\"><em>Divisible multiplicative groups of fields<\/em><\/a>, Journal of Algebra <strong>453<\/strong> (2016), 177-188.<br>[39] <a href=\"https:\/\/faculty.uccs.edu\/goman\/wp-content\/uploads\/sites\/15\/2021\/02\/Axiomatizability-of-the-class-of-root-closed-monoids.pdf\"><em>The axiomatizability of the class of root closed monoids<\/em><\/a> (with Alan Loper and <a href=\"https:\/\/sites.google.com\/site\/njwernermath\/homepage-of-nick-werner\" data-type=\"URL\" data-id=\"https:\/\/sites.google.com\/site\/njwernermath\/homepage-of-nick-werner\">Nick Werner<\/a>), Semigroup Forum <strong>91<\/strong> (2015), no. 3, 737-740.<br>[38] <a href=\"https:\/\/faculty.uccs.edu\/goman\/wp-content\/uploads\/sites\/15\/2021\/02\/The-theory-of-integrally-closed-domains-is-not-finitely-axiomatizable.pdf\"><em>The theory of integrally closed domains is not finitely axiomatizable<\/em><\/a>, Mathematical Logic Quarterly <strong>61<\/strong> (2015), no. 1-2, 120-122.<br>[37] <a href=\"https:\/\/faculty.uccs.edu\/goman\/wp-content\/uploads\/sites\/15\/2021\/02\/264-ALUN-D-14-00074-OmanRev.pdf\"><em>A note on strongly Jonsson binary relational structures<\/em><\/a>, Algebra Universalis <strong>73<\/strong> (2015), no. 1, 97-101.<br>[36] <a href=\"https:\/\/faculty.uccs.edu\/goman\/wp-content\/uploads\/sites\/15\/2021\/02\/Strongly-Jonsson-and-strongly-HS-modules-for-JPAA-G.-Oman-final-version.pdf\"><em>Strongly Jonsson and strongly HS modules<\/em><\/a>, Journal of Pure and Applied Algebra <strong>218<\/strong> (2014), no. 8, 1385-1399.<br>[35] <a href=\"https:\/\/faculty.uccs.edu\/goman\/wp-content\/uploads\/sites\/15\/2021\/02\/Commutative-Rings-with-Infinitely-Many-Maximal-Subrings2.pdf\"><em>Commutative rings with infinitely many maximal subrings<\/em><\/a> (with <a href=\"http:\/\/maths.scu.ac.ir\/HomePage.aspx?TabID=12029&amp;Site=Maths.scu.ac&amp;Lang=fa-IR\">Alborz Azarang<\/a>), Journal of Algebra and ItsApplications <strong>13<\/strong> (2014), no. 6, 1450037, 29 pp.<em><br><\/em>[34] <em><a href=\"https:\/\/faculty.uccs.edu\/goman\/wp-content\/uploads\/sites\/15\/2021\/02\/Small-and-large-ideals-of-an-associative-ring-G.-Oman-final-version-for-JAA.pdf\">Small and large ideals of an associative ring<\/a><\/em>, Journal of Algebra and Its Applications <strong>13<\/strong> (2014), no. 5, 1350151, 20 pp.<br>[33] <a href=\"https:\/\/faculty.uccs.edu\/goman\/wp-content\/uploads\/sites\/15\/2021\/02\/Modules-which-are-isomorphic-to-their-factor-modules.pdf\"><em>Modules which are isomorphic to their factor modules<\/em><\/a> (with <a href=\"https:\/\/www.kettering.edu\/academics\/college-sciences-liberal-arts\/department-mathematics\" data-type=\"URL\" data-id=\"https:\/\/www.kettering.edu\/academics\/college-sciences-liberal-arts\/department-mathematics\">Adam Salminen<\/a>), Communications in Algebra <strong>41<\/strong> (2013), no. 4, 1300-1315.<br>[32] <a href=\"https:\/\/faculty.uccs.edu\/goman\/wp-content\/uploads\/sites\/15\/2021\/02\/Jonsson-posets-and-unary-Jonsson-algebras.pdf\"><em>Jonsson posets and unary Jonsson algebras<\/em><\/a> (with <a href=\"http:\/\/spot.colorado.edu\/~kearnes\/\">Keith Kearnes<\/a>), Algebra Universalis <strong>69<\/strong> (2013), no. 3, 101-112.<br>[31] <a href=\"https:\/\/faculty.uccs.edu\/goman\/wp-content\/uploads\/sites\/15\/2021\/02\/Rings-whose-multiplicative-endomorphisms-are-power-functions.pdf\"><em>Rings whose multiplicative endomorphisms are power functions<\/em><\/a>, Semigroup Forum <strong>86<\/strong> (2013), no. 2, 272-278.<br>[30] <em><a href=\"https:\/\/faculty.uccs.edu\/goman\/wp-content\/uploads\/sites\/15\/2021\/02\/Rings-which-admit-faithful-torsion-modules-II.pdf\">Rings which admit faithful torsion modules II<\/a><\/em> (with <a href=\"https:\/\/www.researchgate.net\/profile\/Ryan_Schwiebert\">Ryan Schwiebert<\/a>*), Journal of Algebra and Its Applications <strong>11<\/strong> (2012), no. 3, 1250054, 12 pp.<br>[29] <a href=\"https:\/\/faculty.uccs.edu\/goman\/wp-content\/uploads\/sites\/15\/2021\/02\/Rings-which-admit-faithful-torsion-modules.pdf\"><em>Rings which admit faithful torsion modules<\/em><\/a> (with <a href=\"https:\/\/www.researchgate.net\/profile\/Ryan_Schwiebert\">Ryan Schwiebert<\/a>*), Communications in Algebra <strong>40<\/strong> (2012), no. 6, 2184-2198.<br>[28] <a href=\"https:\/\/faculty.uccs.edu\/goman\/wp-content\/uploads\/sites\/15\/2021\/02\/Modules-whose-proper-homomorphic-images-are-of-smaller-cardinality.pdf\"><em>On modules whose proper homomorphic images are of smaller cardinality<\/em><\/a> (with <a href=\"https:\/\/www.kettering.edu\/academics\/college-sciences-liberal-arts\/department-mathematics\" data-type=\"URL\" data-id=\"https:\/\/www.kettering.edu\/academics\/college-sciences-liberal-arts\/department-mathematics\">Adam Salminen<\/a>), Canadian Mathematical Bulletin <strong>55<\/strong> (2012), no. 2, 378-389.<br>[27] <a href=\"https:\/\/faculty.uccs.edu\/goman\/wp-content\/uploads\/sites\/15\/2021\/02\/On-elementarily-k-homogeneous-unary-structures.pdf\"><em>On elementarily kappa-homogeneous unary structures<\/em><\/a>, Forum Mathematicum <strong>23<\/strong> (2011), no. 4, 791-802.<br>[26] <a href=\"https:\/\/faculty.uccs.edu\/goman\/wp-content\/uploads\/sites\/15\/2021\/02\/Cardinalities-of-residue-fields-of-Noetherian-integral-domains.pdf\"><em>Cardinalities of residue fields of Noetherian integral domains<\/em><\/a> (with <a href=\"http:\/\/spot.colorado.edu\/~kearnes\/\">Keith Kearnes<\/a>), Communications in Algebra <strong>38<\/strong> (2010), no. 10, 3580-3588.<br>[25] <a href=\"https:\/\/faculty.uccs.edu\/goman\/wp-content\/uploads\/sites\/15\/2021\/02\/Jonsson-modules-over-Noetherian-rings.pdf\"><em>Jonsson modules over Noetherian rings<\/em><\/a>, Communications in Algebra <strong>38<\/strong> (2010), no. 9, 3489-3498.<br>[24] <a href=\"https:\/\/faculty.uccs.edu\/goman\/wp-content\/uploads\/sites\/15\/2021\/02\/On_the_axiom_of_union.pdf\"><em>On the axiom of union<\/em><\/a>, Archive for Mathematical Logic <strong>49<\/strong> (2010), no. 3, 283-289.<br>[23] <a href=\"https:\/\/faculty.uccs.edu\/goman\/wp-content\/uploads\/sites\/15\/2021\/02\/More-results-on-congruent-modules.pdf\"><em>More results on congruent modules<\/em><\/a>, Journal of Pure and Applied Algebra <strong>213<\/strong> (2009), no. 11, 2147-2155.<br>[22] <a href=\"https:\/\/faculty.uccs.edu\/goman\/wp-content\/uploads\/sites\/15\/2021\/02\/On-modules-M-for-which-N-cong-M-for-every-submodule-N-of-size-M.pdf\"><em>On modules M for which N~M for every submodule N of size |M|<\/em><\/a>, Journal of Commutative Algebra <strong>1<\/strong> (2009), no. 4, 679-699.<br>[21] <a href=\"https:\/\/faculty.uccs.edu\/goman\/wp-content\/uploads\/sites\/15\/2021\/02\/Ring-semigroups-whose-subsemigroups-intersect.pdf\"><em>Ring semigroups whose subsemigroups intersect<\/em><\/a>, Semigroup Forum <strong>79<\/strong> (2009), no. 2, 413-416.<br>[20] <a href=\"https:\/\/faculty.uccs.edu\/goman\/wp-content\/uploads\/sites\/15\/2021\/02\/Ring-semigroups-whose-subsemigroups-form-a-chain.pdf\"><em>Ring semigroups whose subsemigroups form a chain<\/em><\/a>, Semigroup Forum <strong>78<\/strong> (2009), no. 2, 371-374.<br>[19] <a href=\"https:\/\/faculty.uccs.edu\/goman\/wp-content\/uploads\/sites\/15\/2021\/02\/Some-results-on-Jonsson-modules-over-a-commutative-ring.pdf\"><em>Some results on Jonsson modules over a commutative ring<\/em><\/a>, Houston Journal of Mathematics <strong>35<\/strong> (2009), no. 1, 1-12.<br>[18] <em><a href=\"https:\/\/faculty.uccs.edu\/goman\/wp-content\/uploads\/sites\/15\/2021\/02\/On-infinite-modules-M-over-a-Dedekind-domain.pdf\">On infinite modules M over a Dedekind domain for which N~M for every submodule N of cardinality |M|<\/a><\/em>, Rocky Mountain Journal of Mathematics <strong>39<\/strong> (2009), no. 1, 259-270.<br>[17] <a href=\"https:\/\/faculty.uccs.edu\/goman\/wp-content\/uploads\/sites\/15\/2021\/02\/A-note-on-the-n-generator-property-for-commutative-monoids.pdf\"><em>A note on the n-generator property for commutative monoids<\/em><\/a>, Semigroup Forum <strong>74<\/strong> (2007), no. 1,155-158.<br><br><strong>Miscellaneous Refereed Papers<\/strong><br>[16] <em><a href=\"https:\/\/faculty.uccs.edu\/goman\/wp-content\/uploads\/sites\/15\/2021\/07\/root-law-submission-revision-1-Hovenga-Oman.pdf\" data-type=\"URL\" data-id=\"https:\/\/faculty.uccs.edu\/goman\/wp-content\/uploads\/sites\/15\/2021\/07\/root-law-submission-revision-1-Hovenga-Oman.pdf\">Getting to the root of the root law for limits<\/a><\/em> (with <a href=\"https:\/\/statistics.berkeley.edu\/people\/van-hovenga\" data-type=\"URL\" data-id=\"https:\/\/statistics.berkeley.edu\/people\/van-hovenga\">Van Hovenga<\/a>**), International Journal of Mathematical Education in Science and Technology <strong>53<\/strong> (2022), no. 11, 3162-3165.<br>[15] <em><a href=\"https:\/\/faculty.uccs.edu\/goman\/wp-content\/uploads\/sites\/15\/2022\/06\/Clusters.pdf\">Calculating complex cosine clusters<\/a><\/em> (with <a href=\"https:\/\/nilesjohnson.net\/\">Niles Johnson<\/a> and <a href=\"https:\/\/newark.osu.edu\/directory\/loper-k-alan.html\">Alan Loper<\/a>), Pi Mu Epsilon Journal <strong>15<\/strong> (2022), no. 7, 405-414.<br>[14] <em><a href=\"https:\/\/faculty.uccs.edu\/goman\/wp-content\/uploads\/sites\/15\/2021\/02\/Pi-Mu-Epsilon-Paper-Submission-Oman.pdf\">Problem-posing: a look behind the scenes<\/a><\/em>, Pi Mu Epsilon Journal <strong>15<\/strong> (2020), no. 1, 111-118.<br>[13] <a href=\"https:\/\/faculty.uccs.edu\/goman\/wp-content\/uploads\/sites\/15\/2021\/02\/A-short-proof-of-the-Bolzano-Weierstrass-Theorem.pdf\"><em>A short proof of the Bolzano-Weierstrass Theorem<\/em><\/a> (with <a href=\"https:\/\/math.berkeley.edu\/people\/grad\/katrina-biele\">Katrina Biele<\/a>**), College Mathematics Journal <strong>48<\/strong> (2017), no. 4, 288-289.<br>[12] <em><a href=\"https:\/\/faculty.uccs.edu\/goman\/wp-content\/uploads\/sites\/15\/2021\/02\/PME-Submission-Griffith-Oman.pdf\">A radical excursion: from irrational roots to Prufer domains and back<\/a><\/em> (with <a href=\"https:\/\/www.researchgate.net\/profile\/Benjamin_Griffith\">Ben Griffith<\/a>**), Pi Mu Epsilon Journal, <strong>14<\/strong> (2016), no. 5, 327-332.<br>[11] <em><a href=\"https:\/\/faculty.uccs.edu\/goman\/wp-content\/uploads\/sites\/15\/2021\/02\/Elemente-der-Mathematik-Submission-Morrow-Oman-Salminen.pdf\">Game show shenanigans: Monty Hall meets mathematical logic<\/a><\/em> (with <a href=\"https:\/\/www.uccs.edu\/gmorrow\/\">Greg Morrow<\/a> and <a href=\"https:\/\/www.kettering.edu\/academics\/college-sciences-liberal-arts\/department-mathematics\" data-type=\"URL\" data-id=\"https:\/\/www.kettering.edu\/academics\/college-sciences-liberal-arts\/department-mathematics\">Adam Salminen<\/a>), Elemente der Mathematik <strong>71<\/strong> (2016), no. 4, 145-155.<br>[10] <em><a href=\"https:\/\/faculty.uccs.edu\/goman\/wp-content\/uploads\/sites\/15\/2021\/02\/MJMS-Submission.pdf\">I\u2019m thinking of a number\u2026<\/a><\/em> (with <a href=\"https:\/\/www.cedarville.edu\/Academics\/Science-and-Mathematics\/Faculty-Staff\/Hammett-Adam.aspx\">Adam Hammett<\/a> ), Missouri Journal of Mathematical Sciences <strong>28<\/strong> (2016), no. 1, 31-48.<br>[9] <em><a href=\"https:\/\/faculty.uccs.edu\/goman\/wp-content\/uploads\/sites\/15\/2021\/02\/CMJ-D-15-00018-revised.pdf\">A characterization of the cyclic groups by subgroup indices<\/a><\/em> (with <a href=\"https:\/\/www.linkedin.com\/pub\/victoria-slattum\/65\/332\/a47\">Victoria Slattum<\/a>**), College Mathematics Journal <strong>47<\/strong> (2016), no. 1, 29-33.<br>[8] <a href=\"https:\/\/faculty.uccs.edu\/goman\/wp-content\/uploads\/sites\/15\/2021\/02\/Converse-of-IVT.pdf\"><em>The converse of the Intermediate Value Theorem: from Conway to Cantor to cosets and beyond<\/em><\/a>, Missouri Journal of Mathematical Sciences <strong>26<\/strong> (2014), no. 2, 134-150.<br>[7] <a href=\"https:\/\/faculty.uccs.edu\/goman\/wp-content\/uploads\/sites\/15\/2021\/02\/Jonsson-survey.pdf\"><em>Jonsson and HS modules over commutative rings<\/em><\/a>, International Journal of Mathematics and Mathematical Sciences (2014), 120907, 13 pp.<br>[6] <a href=\"https:\/\/faculty.uccs.edu\/goman\/wp-content\/uploads\/sites\/15\/2021\/02\/Pi-Mu-Epsilon-Submission-G.-Oman-revised.pdf\"><em>Groups whose subgroups have distinct cardinalities<\/em><\/a>, Pi Mu Epsilon Journal <strong>14<\/strong> (2014), no. 1, 31-37.<br>[5] <a href=\"https:\/\/faculty.uccs.edu\/goman\/wp-content\/uploads\/sites\/15\/2021\/02\/Group-permutations-which-preserve-subgroups.pdf\"><em>Group permutations which preserve subgroups<\/em><\/a> (with <a href=\"https:\/\/www.linkedin.com\/pub\/veronica-marth\/35\/93\/984\">Veronica Marth<\/a>**), Pi Mu Epsilon Journal <strong>13<\/strong> (2012), no. 7, 407-414.<br>[4] <a href=\"https:\/\/faculty.uccs.edu\/goman\/wp-content\/uploads\/sites\/15\/2021\/02\/The-number-of-homomorphic-images-of-an-Abelian-group.pdf\"><em>The number of homomorphic images of an abelian group<\/em><\/a>, International Journal of Algebra <strong>5<\/strong> (2011), no. 3, 107-115.<br>[3] <a href=\"https:\/\/faculty.uccs.edu\/goman\/wp-content\/uploads\/sites\/15\/2021\/02\/An-independent-axiom-system-for-the-real-numbers.pdf\"><em>An independent axiom system for the real numbers<\/em><\/a>, College Mathematics Journal <strong>40<\/strong> (2009), no. 2, 78-86.<br>[2] <a href=\"https:\/\/faculty.uccs.edu\/goman\/wp-content\/uploads\/sites\/15\/2021\/02\/Jonsson-modules-over-commutative-rings.pdf\"><em>Jonsson modules over commutative rings<\/em><\/a>, Chapter 1 of \u201cCommutative Rings: New Research\u201d, Nova Science Publishers, New York (2009), 1-6. (invited chapter)<br><br><strong>Published Interview<\/strong><br>[1] <a href=\"https:\/\/ysu.edu\/faculty-experts\/prieto-langarica-alicia\" data-type=\"URL\" data-id=\"https:\/\/ysu.edu\/faculty-experts\/prieto-langarica-alicia\">Alicia Prieto-Langarica<\/a>, <em><a href=\"https:\/\/faculty.uccs.edu\/goman\/wp-content\/uploads\/sites\/15\/2022\/09\/A-life-in-search-of-problems.pdf\" data-type=\"URL\" data-id=\"https:\/\/faculty.uccs.edu\/goman\/wp-content\/uploads\/sites\/15\/2022\/09\/A-life-in-search-of-problems.pdf\">A life in search of problems<\/a><\/em>, Focus, August\/September (2022), 26-28. (an interview of myself along with the problem editors of American Mathematical Monthly, Mathematics Magazine, and Math Horizons)<br><br><strong>(Refereed)<\/strong> <strong>Problems Posed<\/strong><br>[76] <em><a href=\"https:\/\/faculty.uccs.edu\/goman\/wp-content\/uploads\/sites\/15\/2024\/11\/1286.pdf\">Problem #1286<\/a><\/em> (with <a href=\"https:\/\/www.stcloudstate.edu\/mathstat\/faculty-staff.aspx\">Nick Fiala<\/a>), College Mathematics Journal <strong>55<\/strong> (2024), no. 5, p. 435.<br>[75] <em><a href=\"https:\/\/faculty.uccs.edu\/goman\/wp-content\/uploads\/sites\/15\/2024\/08\/1282.pdf\">Problem #1282<\/a><\/em> (with <a href=\"http:\/\/people.rsu.edu.ru\/~a.naziev\/\" data-type=\"URL\" data-id=\"http:\/\/people.rsu.edu.ru\/~a.naziev\/\">Aslanbek Naziev<\/a>), College Mathematics Journal <strong>55<\/strong> (2024), no. 4, p. 352.<br>[74] <em><a href=\"https:\/\/faculty.uccs.edu\/goman\/wp-content\/uploads\/sites\/15\/2024\/08\/1280pubver.pdf\">Problem #1280<\/a><\/em> (with <a href=\"http:\/\/people.rsu.edu.ru\/~a.naziev\/\" data-type=\"URL\" data-id=\"http:\/\/people.rsu.edu.ru\/~a.naziev\/\">Aslanbek Naziev<\/a>), College Mathematics Journal <strong>55<\/strong> (2024), no. 3, p. 261.<br>[73] <em><a href=\"https:\/\/faculty.uccs.edu\/goman\/wp-content\/uploads\/sites\/15\/2024\/08\/1271.pdf\">Problem #1271<\/a><\/em>, College Mathematics Journal <strong>55<\/strong> (2024), no. 2, p. 175.<br>[72] <em><a href=\"https:\/\/faculty.uccs.edu\/goman\/wp-content\/uploads\/sites\/15\/2024\/01\/1269.pdf\">Problem #1269<\/a><\/em>, College Mathematics Journal <strong>55<\/strong> (2024), no. 1, p. 65.<br>[71] <em><a href=\"https:\/\/faculty.uccs.edu\/goman\/wp-content\/uploads\/sites\/15\/2023\/10\/Problem55.pdf\">Problem #1256<\/a><\/em>, College Mathematics Journal <strong>54<\/strong> (2023), no. 4, p. 400.<br>[70] <em><a href=\"https:\/\/faculty.uccs.edu\/goman\/wp-content\/uploads\/sites\/15\/2023\/05\/1248.pdf\" data-type=\"URL\" data-id=\"https:\/\/faculty.uccs.edu\/goman\/wp-content\/uploads\/sites\/15\/2023\/05\/1248.pdf\">Problem #1248<\/a><\/em>, College Mathematics Journal <strong>54<\/strong> (2023), no. 2, pp. 147-148,<br>[69] <em><a href=\"https:\/\/faculty.uccs.edu\/goman\/wp-content\/uploads\/sites\/15\/2022\/09\/problem-125.pdf\" data-type=\"URL\" data-id=\"https:\/\/faculty.uccs.edu\/goman\/wp-content\/uploads\/sites\/15\/2022\/09\/problem-125.pdf\">Problem #1235<\/a><\/em>, College Mathematics Journal <strong>53<\/strong> (2022) no. 4, p. 320.<br>[68] <em><a href=\"https:\/\/faculty.uccs.edu\/goman\/wp-content\/uploads\/sites\/15\/2022\/05\/problem-20.pdf\" data-type=\"URL\" data-id=\"https:\/\/faculty.uccs.edu\/goman\/wp-content\/uploads\/sites\/15\/2022\/05\/problem-20.pdf\">Problem #1228<\/a><\/em>, College Mathematics Journal <strong>53<\/strong> (2022) no. 3, p. 237.<br>[67] <em><a href=\"https:\/\/faculty.uccs.edu\/goman\/wp-content\/uploads\/sites\/15\/2022\/03\/Problem-120.pdf\" data-type=\"URL\" data-id=\"https:\/\/faculty.uccs.edu\/goman\/wp-content\/uploads\/sites\/15\/2022\/03\/Problem-120.pdf\">Problem #1219<\/a><\/em>, College Mathematics Journal <strong>53<\/strong> (2022) no. 1, p. 70.<br>[66] <em><a href=\"https:\/\/faculty.uccs.edu\/goman\/wp-content\/uploads\/sites\/15\/2021\/12\/Problem-111.pdf\" data-type=\"URL\" data-id=\"https:\/\/faculty.uccs.edu\/goman\/wp-content\/uploads\/sites\/15\/2021\/12\/Problem-111.pdf\">Problem #1215<\/a><\/em>, College Mathematics Journal, <strong>52<\/strong> (2021), no. 5, p. 388.<br>[65] <a href=\"https:\/\/faculty.uccs.edu\/goman\/wp-content\/uploads\/sites\/15\/2021\/09\/Problem-107.pdf\" data-type=\"URL\" data-id=\"https:\/\/faculty.uccs.edu\/goman\/wp-content\/uploads\/sites\/15\/2021\/09\/Problem-107.pdf\"><em>Problem <\/em>#<em>1210<\/em><\/a>, College Mathematics Journal <strong>52<\/strong> (2021), no. 4, p. 307.<br>[64] <a href=\"https:\/\/faculty.uccs.edu\/goman\/wp-content\/uploads\/sites\/15\/2021\/05\/Problem-87no-sol.pdf\"><em>Problem #1198<\/em><\/a> (with Alan Loper), College Mathematics Journal <strong>52<\/strong> (2021), no. 2, p. 142.<br>[63] <a href=\"https:\/\/faculty.uccs.edu\/goman\/wp-content\/uploads\/sites\/15\/2021\/05\/problem-77no-sol.pdf\"><em>Problem #1192<\/em><\/a>, College Mathematics Journal <strong>52<\/strong> (2021), no. 1, p. 64.<br>[62] <a href=\"https:\/\/faculty.uccs.edu\/goman\/wp-content\/uploads\/sites\/15\/2021\/02\/1185.pdf\"><em>Problem #1185<\/em><\/a>, College Mathematics Journal <strong>51<\/strong> (2020), no. 4, p. 306.<br>[61] <a href=\"https:\/\/faculty.uccs.edu\/goman\/wp-content\/uploads\/sites\/15\/2021\/02\/CMJMay2020problems.pdf\"><em>Problem #1179<\/em><\/a>, College Mathematics Journal <strong>51<\/strong> (2020), no. 3, p. 246.<br>[60] <a href=\"https:\/\/faculty.uccs.edu\/goman\/wp-content\/uploads\/sites\/15\/2021\/02\/CMJMarch2020problems.pdf\"><em>Problem #1173<\/em><\/a>, College Mathematics Journal <strong>51<\/strong> (2020), no. 2, pp. 146-147.<br>[59] <a href=\"https:\/\/faculty.uccs.edu\/goman\/wp-content\/uploads\/sites\/15\/2021\/02\/1166.pdf\"><em>Problem #1166<\/em><\/a>, College Mathematics Journal <strong>51<\/strong> (2020), no. 1, p. 66.<br>[58] <a href=\"https:\/\/faculty.uccs.edu\/goman\/wp-content\/uploads\/sites\/15\/2021\/02\/1356.pdf\"><em>Problem #1356<\/em><\/a> (with Ikko Saito), Pi Mu Epsilon Journal, Spring 2019.<br>[57] <a href=\"https:\/\/faculty.uccs.edu\/goman\/wp-content\/uploads\/sites\/15\/2021\/02\/1155.pdf\"><em>Problem #1155<\/em><\/a>, College Mathematics Journal <strong>50<\/strong> (2019), no. 3, p. 225.<br>[56] <a href=\"https:\/\/faculty.uccs.edu\/goman\/wp-content\/uploads\/sites\/15\/2021\/02\/1150.pdf\"><em>Problem #1150<\/em><\/a>, College Mathematics Journal <strong>50<\/strong> (2019), no. 2, p. 144.<br>[55] <a href=\"https:\/\/faculty.uccs.edu\/goman\/wp-content\/uploads\/sites\/15\/2021\/02\/1088.pdf\"><em>Problem #1088<\/em><\/a> (with <a href=\"https:\/\/appliedmath.ucmerced.edu\/content\/luke-harmon\">Luke Harmon<\/a>*), Mathematics Magazine <strong>92<\/strong> (2019), no. 1, p. 73.<br>[54] <a href=\"https:\/\/faculty.uccs.edu\/goman\/wp-content\/uploads\/sites\/15\/2021\/02\/1145.pdf\"><em>Problem #1145<\/em><\/a>, College Mathematics Journal <strong>50<\/strong> (2019), no. 1, p. 62.<br>[53] <em><a href=\"https:\/\/faculty.uccs.edu\/goman\/wp-content\/uploads\/sites\/15\/2021\/02\/12089.pdf\">Problem #12089<\/a><\/em> (with <a href=\"https:\/\/www.kettering.edu\/academics\/college-sciences-liberal-arts\/department-mathematics\">Adam Salminen<\/a>), American Mathematical Monthly <strong>126<\/strong> (2019), no. 1, p. 83.<br>[52] <a href=\"https:\/\/faculty.uccs.edu\/goman\/wp-content\/uploads\/sites\/15\/2021\/02\/1140.pdf\"><em>Problem #1140<\/em><\/a>, College Mathematics Journal <strong>49<\/strong> (2018), no. 5, p. 372.<br>[51] <a href=\"https:\/\/faculty.uccs.edu\/goman\/wp-content\/uploads\/sites\/15\/2021\/02\/1134_0.pdf\"><em>Problem #1334<\/em><\/a>, College Mathematics Journal <strong>49<\/strong> (2018), no. 4, p. 296.<br>[50] <a href=\"https:\/\/faculty.uccs.edu\/goman\/wp-content\/uploads\/sites\/15\/2021\/02\/12036.pdf\"><em>Problem #12036<\/em><\/a>, American Mathematical Monthly <strong>125<\/strong> (2018), no. 4, p. 370.<br>[49] <a href=\"https:\/\/faculty.uccs.edu\/goman\/wp-content\/uploads\/sites\/15\/2021\/02\/2043.pdf\"><em>Problem #2043<\/em><\/a> (with <a href=\"https:\/\/www.kettering.edu\/academics\/college-sciences-liberal-arts\/department-mathematics\" data-type=\"URL\" data-id=\"https:\/\/www.kettering.edu\/academics\/college-sciences-liberal-arts\/department-mathematics\">Adam Salminen<\/a>), Mathematics Magazine <strong>91<\/strong> (2018), no. 2, p. 151.<br>[48] <a href=\"https:\/\/faculty.uccs.edu\/goman\/wp-content\/uploads\/sites\/15\/2021\/02\/1125_0.pdf\"><em>Problem #1125<\/em><\/a>, College Mathematics Journal <strong>49<\/strong> (2018), no. 2, p. 141.<br>[47] <a href=\"https:\/\/faculty.uccs.edu\/goman\/wp-content\/uploads\/sites\/15\/2021\/02\/1078-MM.pdf\"><em>Problem #1078<\/em><\/a> , Mathematics Magazine <strong>91<\/strong> (2018), no. 1, p. 72.<br>[46] <em><a href=\"https:\/\/faculty.uccs.edu\/goman\/wp-content\/uploads\/sites\/15\/2021\/02\/1118.pdf\">Problem #1118<\/a><\/em> (with Logan Robinson**), College Mathematics Journal <strong>49<\/strong> (2018), no. 1, p. 61.<br>[45] <a href=\"https:\/\/faculty.uccs.edu\/goman\/wp-content\/uploads\/sites\/15\/2021\/02\/12010.pdf\"><em>Problem #12010<\/em><\/a> (with <a href=\"https:\/\/www.evansville.edu\/majors\/math\/faculty.cfm\">Adam Salminen<\/a>), American Mathematical Monthly <strong>124<\/strong> (2017), no. 10, p. 971.<br>[44] <a href=\"https:\/\/faculty.uccs.edu\/goman\/wp-content\/uploads\/sites\/15\/2021\/02\/1111.pdf\"><em>Problem #1111<\/em><\/a>, College Mathematics Journal <strong>48<\/strong> (2017), no. 5, p. 370.<br>[43] <a href=\"https:\/\/faculty.uccs.edu\/goman\/wp-content\/uploads\/sites\/15\/2021\/02\/1106.pdf\"><em>Problem #1106<\/em><\/a>, College Mathematics Journal <strong>48<\/strong> (2017), no. 4, p. 292.<br>[42] <a href=\"https:\/\/faculty.uccs.edu\/goman\/wp-content\/uploads\/sites\/15\/2021\/02\/2019.pdf\"><em>Problem #2019<\/em><\/a>, Mathematics Magazine <strong>90<\/strong> (2017), no. 2, p. 145.<br>[41] <a href=\"https:\/\/faculty.uccs.edu\/goman\/wp-content\/uploads\/sites\/15\/2021\/02\/353.png\"><em>Problem #353<\/em><\/a> (with <a href=\"https:\/\/www.cedarville.edu\/Academics\/Science-and-Mathematics\/Faculty-Staff\/Hammett-Adam.aspx\">Adam Hammett<\/a>), Math Horizons <strong>23<\/strong> (2017), no. 3, p. 30.<br>[40] <a href=\"https:\/\/faculty.uccs.edu\/goman\/wp-content\/uploads\/sites\/15\/2021\/02\/1104.pdf\"><em>Problem #1104<\/em><\/a>, College Mathematics Journal <strong>48<\/strong> (2017), no. 3, p. 220.<br>[39] <a href=\"https:\/\/faculty.uccs.edu\/goman\/wp-content\/uploads\/sites\/15\/2021\/02\/1103.pdf\"><em>Problem #1103<\/em><\/a>, College Mathematics Journal <strong>48<\/strong> (2017), no. 3, p. 220.<br>[38] <a href=\"https:\/\/faculty.uccs.edu\/goman\/wp-content\/uploads\/sites\/15\/2021\/02\/1332.pdf\"><em>Problem #1332<\/em><\/a>, Pi Mu Epsilon Journal, Spring 2017.<br>[37] <a href=\"https:\/\/faculty.uccs.edu\/goman\/wp-content\/uploads\/sites\/15\/2021\/02\/1331.pdf\"><em>Problem #1331<\/em><\/a>, Pi Mu Epsilon Journal, Spring 2017.<br>[36] <a href=\"https:\/\/faculty.uccs.edu\/goman\/wp-content\/uploads\/sites\/15\/2021\/02\/1096.pdf\"><em>Problem #1096<\/em><\/a> (with <a href=\"https:\/\/www.kettering.edu\/academics\/college-sciences-liberal-arts\/department-mathematics\">Adam Salminen<\/a>), College Mathematics Journal <strong>48<\/strong> (2017), no. 2, p. 138.<br>[35] <em><a href=\"https:\/\/faculty.uccs.edu\/goman\/wp-content\/uploads\/sites\/15\/2021\/02\/1095.pdf\">Problem #1095<\/a><\/em> (with <a href=\"http:\/\/spot.colorado.edu\/~kearnes\/\">Keith Kearnes<\/a>), College Mathematics Journal <strong>48<\/strong> (2017), no. 1, p. 59.<br>[34] <a href=\"https:\/\/faculty.uccs.edu\/goman\/wp-content\/uploads\/sites\/15\/2021\/02\/1093.pdf\"><em>Problem #1093<\/em><\/a>, College Mathematics Journal <strong>48<\/strong> (2017), no. 1, p. 58.<br>[33] <a href=\"https:\/\/faculty.uccs.edu\/goman\/wp-content\/uploads\/sites\/15\/2021\/02\/2009.pdf\"><em>Problem #2009<\/em><\/a>, Mathematics Magazine <strong>89<\/strong> (2016), no. 5, p. 379.<br>[32] <a href=\"https:\/\/faculty.uccs.edu\/goman\/wp-content\/uploads\/sites\/15\/2021\/02\/11943.pdf\"><em>Problem #11943<\/em><\/a> (with <a href=\"http:\/\/spot.colorado.edu\/~kearnes\/\">Keith Kearnes<\/a>), American Mathematical Monthly <strong>123<\/strong> (2016), no. 10, p. 1050.<br>[31] <a href=\"https:\/\/faculty.uccs.edu\/goman\/wp-content\/uploads\/sites\/15\/2021\/02\/1078.pdf\"><em>Problem #1078<\/em><\/a>, College Mathematics Journal <strong>43<\/strong> (2016), no. 3, pp. 221-222.<br>[30] <a href=\"https:\/\/faculty.uccs.edu\/goman\/wp-content\/uploads\/sites\/15\/2021\/02\/1998.pdf\"><em>Problem #1998<\/em><\/a>, Mathematics Magazine <strong>89<\/strong> (2016), no. 3, pp. 223-224.<br>[29] <a href=\"https:\/\/faculty.uccs.edu\/goman\/wp-content\/uploads\/sites\/15\/2021\/02\/11887.pdf\"><em>Problem #11887<\/em><\/a> (with <a href=\"https:\/\/appliedmath.ucmerced.edu\/content\/luke-harmon\">Luke Harmon<\/a>*), American Mathematical Monthly <strong>123<\/strong> (2016), no. 2, p. 197.<br>[28] <a href=\"https:\/\/faculty.uccs.edu\/goman\/wp-content\/uploads\/sites\/15\/2021\/02\/1067.pdf\"><em>Problem #1067<\/em><\/a>, College Mathematics Journal <strong>47<\/strong> (2016), no. 1, p. 61.<br>[27] <a href=\"https:\/\/faculty.uccs.edu\/goman\/wp-content\/uploads\/sites\/15\/2021\/02\/1054.pdf\"><em>Problem #1054<\/em><\/a>, College Mathematics Journal <strong>46<\/strong> (2015), no. 3, p. 221.<br>[26] <a href=\"https:\/\/faculty.uccs.edu\/goman\/wp-content\/uploads\/sites\/15\/2021\/02\/326.pdf\"><em>Problem #326<\/em><\/a> (with Alan Loper), Math Horizons <strong>23<\/strong> (2015), no. 1, p. 30.<br>[25] <a href=\"https:\/\/faculty.uccs.edu\/goman\/wp-content\/uploads\/sites\/15\/2021\/02\/318.pdf\"><em>Problem #318<\/em><\/a>, Math Horizons <strong>22<\/strong> (2015), no. 3, p. 30.<br>[24] <a href=\"https:\/\/faculty.uccs.edu\/goman\/wp-content\/uploads\/sites\/15\/2021\/02\/11813.pdf\"><em>Problem #11813<\/em><\/a>, American Mathematical Monthly <strong>122<\/strong> (2015), no. 1, p. 76.<br>[23] <a href=\"https:\/\/faculty.uccs.edu\/goman\/wp-content\/uploads\/sites\/15\/2021\/02\/11750.pdf\"><em>Problem #11750<\/em><\/a>, American Mathematical Monthly <strong>121<\/strong> (2014), no. 1, p. 83.<br>[22] <a href=\"https:\/\/faculty.uccs.edu\/goman\/wp-content\/uploads\/sites\/15\/2021\/02\/1934.pdf\"><em>Problem #1934<\/em><\/a>, Mathematics Magazine <strong>86<\/strong> (2013), no. 5, p. 382.<br>[21] <a href=\"https:\/\/faculty.uccs.edu\/goman\/wp-content\/uploads\/sites\/15\/2021\/02\/1011.pdf\"><em>Problem #1011<\/em><\/a>, College Mathematics Journal <strong>44<\/strong> (2013), no. 5, p. 437.<br>[20] <a href=\"https:\/\/faculty.uccs.edu\/goman\/wp-content\/uploads\/sites\/15\/2021\/02\/1006.pdf\"><em>Problem #1006<\/em><\/a>, College Mathematics Journal <strong>44<\/strong> (2013), no. 4, p. 325.<br>[19] <a href=\"https:\/\/faculty.uccs.edu\/goman\/wp-content\/uploads\/sites\/15\/2021\/02\/11702.pdf\"><em>Problem #11702<\/em><\/a>, American Mathematical Monthly <strong>120<\/strong> (2013), no. 4, p. 365.<br>[18] <a href=\"https:\/\/faculty.uccs.edu\/goman\/wp-content\/uploads\/sites\/15\/2021\/02\/11658.pdf\"><em>Problem #11658<\/em><\/a>, American Mathematical Monthly <strong>119<\/strong> (2012), no. 7, p. 608.<br>[17] <a href=\"https:\/\/faculty.uccs.edu\/goman\/wp-content\/uploads\/sites\/15\/2021\/02\/985.pdf\"><em>Problem #985<\/em><\/a>, College Mathematics Journal <strong>43<\/strong> (2012), no. 4, p. 338.<br>[16] <a href=\"https:\/\/faculty.uccs.edu\/goman\/wp-content\/uploads\/sites\/15\/2021\/02\/1900.pdf\"><em>Problem #1900<\/em><\/a>, Mathematics Magazine <strong>85<\/strong> (2012), no. 3, p. 229.<br>[15] <a href=\"https:\/\/faculty.uccs.edu\/goman\/wp-content\/uploads\/sites\/15\/2021\/02\/977.pdf\"><em>Problem #977<\/em><\/a>, College Mathematics Journal <strong>43<\/strong> (2012), no. 3, p. 257.<br>[14] <a href=\"https:\/\/faculty.uccs.edu\/goman\/wp-content\/uploads\/sites\/15\/2021\/02\/968.pdf\"><em>Problem #968<\/em><\/a>, College Mathematics Journal <strong>43<\/strong> (2012), no. 1, p. 95.<br>[13] <a href=\"https:\/\/faculty.uccs.edu\/goman\/wp-content\/uploads\/sites\/15\/2021\/02\/11617.pdf\"><em>Problem #11617<\/em><\/a>, American Mathematical Monthly <strong>119<\/strong> (2012), no. 1, p. 68.<br>[12] <a href=\"https:\/\/faculty.uccs.edu\/goman\/wp-content\/uploads\/sites\/15\/2021\/02\/946.pdf\"><em>Problem #946<\/em><\/a>, College Mathematics Journal <strong>42<\/strong> (2011), no. 2, p. 151.<br>[11] <a href=\"https:\/\/faculty.uccs.edu\/goman\/wp-content\/uploads\/sites\/15\/2021\/02\/940.pdf\"><em>Problem #940<\/em><\/a>, College Mathematics Journal <strong>41<\/strong> (2010), no. 5, p. 410.<br>[10] <a href=\"https:\/\/faculty.uccs.edu\/goman\/wp-content\/uploads\/sites\/15\/2021\/02\/1211.pdf\"><em>Problem #1211<\/em><\/a>, Pi Mu Epsilon Journal, Fall 2009.<br>[9] <a href=\"https:\/\/faculty.uccs.edu\/goman\/wp-content\/uploads\/sites\/15\/2021\/02\/11451.pdf\"><em>Problem #11451<\/em><\/a>, American Mathematical Monthly <strong>116<\/strong> (2009), no. 7, p. 648.<br>[8] <a href=\"https:\/\/faculty.uccs.edu\/goman\/wp-content\/uploads\/sites\/15\/2021\/02\/1825.pdf\"><em>Problem #1825<\/em><\/a> (with <a href=\"https:\/\/www.uwsp.edu\/directory\/profile\/kevin-schoenecker\/\">Kevin Schoenecker<\/a>), Mathematics Magazine <strong>82<\/strong> (2009), no. 3, p. 228.<br>[7] <a href=\"https:\/\/faculty.uccs.edu\/goman\/wp-content\/uploads\/sites\/15\/2021\/02\/892.pdf\"><em>Problem #892<\/em><\/a>, College Mathematics Journal <strong>40<\/strong> (2009), no. 1, p. 55.<br>[6] <a href=\"https:\/\/faculty.uccs.edu\/goman\/wp-content\/uploads\/sites\/15\/2021\/02\/1810.pdf\"><em>Problem #1810<\/em><\/a>, Mathematics Magazine <strong>81<\/strong> (2008), no. 5, p. 376.<br>[5] <em><a href=\"https:\/\/faculty.uccs.edu\/goman\/wp-content\/uploads\/sites\/15\/2021\/02\/871.pdf\">Problem #871<\/a><\/em>, College Mathematics Journal <strong>39<\/strong> (2008), no. 2, p. 153.<br>[4] <a href=\"https:\/\/faculty.uccs.edu\/goman\/wp-content\/uploads\/sites\/15\/2021\/02\/11284.pdf\"><em>Problem #11284<\/em><\/a>, American Mathematical Monthly <strong>114<\/strong> (2007), no. 4, p. 358.<br>[3] <a href=\"https:\/\/faculty.uccs.edu\/goman\/wp-content\/uploads\/sites\/15\/2021\/02\/203.pdf\"><em>Problem #203<\/em><\/a>, Math Horizons, <strong>14<\/strong> (2006), no. 1, p. 40.<br>[2] <a href=\"https:\/\/faculty.uccs.edu\/goman\/wp-content\/uploads\/sites\/15\/2021\/02\/820.pdf\"><em>Problem #820<\/em><\/a>, College Mathematics Journal <strong>37<\/strong> (2006), no. 1, p. 60.<br>[1] <a href=\"https:\/\/faculty.uccs.edu\/goman\/wp-content\/uploads\/sites\/15\/2021\/02\/11166.pdf\"><em>Problem #11166<\/em><\/a>, American Mathematical Monthly <strong>112<\/strong> (2005), no. 7, p. 654.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>CURRICULUM VITA (always current)c.v. PUBLICATIONS (below, ** denotes an undergraduate coauthor and * denotes a graduate student coauthor; manuscripts in preparation or under review not listed) Refereed Research Papers[61] Extending subgroup and subring isomorphisms to automorphisms, Czechoslovak Mathematical Journal, to appear, 13 pages.[60] From ancient Egyptian fractions to modern algebra (with Lorenzo Guerrieri and Alan [&hellip;]<\/p>\n","protected":false},"author":10,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"_uag_custom_page_level_css":"","advgb_blocks_editor_width":"","advgb_blocks_columns_visual_guide":"","footnotes":""},"class_list":["post-103","page","type-page","status-publish","hentry"],"uagb_featured_image_src":{"full":false,"thumbnail":false,"medium":false,"medium_large":false,"large":false,"1536x1536":false,"2048x2048":false},"uagb_author_info":{"display_name":"st-web01","author_link":"https:\/\/faculty.uccs.edu\/goman\/author\/st-web01\/"},"uagb_comment_info":0,"uagb_excerpt":"CURRICULUM VITA (always current)c.v. PUBLICATIONS (below, ** denotes an undergraduate coauthor and * denotes a graduate student coauthor; manuscripts in preparation or under review not listed) Refereed Research Papers[61] Extending subgroup and subring isomorphisms to automorphisms, Czechoslovak Mathematical Journal, to appear, 13 pages.[60] From ancient Egyptian fractions to modern algebra (with Lorenzo Guerrieri and Alan&hellip;","coauthors":[],"author_meta":{"author_link":"https:\/\/faculty.uccs.edu\/goman\/author\/st-web01\/","display_name":"st-web01"},"relative_dates":{"created":"Posted 5 years ago","modified":"Updated 3 weeks ago"},"absolute_dates":{"created":"Posted on February 1, 2021","modified":"Updated on June 23, 2026"},"absolute_dates_time":{"created":"Posted on February 1, 2021 3:12 pm","modified":"Updated on June 23, 2026 12:17 am"},"featured_img_caption":"","featured_img":false,"series_order":"","_links":{"self":[{"href":"https:\/\/faculty.uccs.edu\/goman\/wp-json\/wp\/v2\/pages\/103","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/faculty.uccs.edu\/goman\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/faculty.uccs.edu\/goman\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/faculty.uccs.edu\/goman\/wp-json\/wp\/v2\/users\/10"}],"replies":[{"embeddable":true,"href":"https:\/\/faculty.uccs.edu\/goman\/wp-json\/wp\/v2\/comments?post=103"}],"version-history":[{"count":153,"href":"https:\/\/faculty.uccs.edu\/goman\/wp-json\/wp\/v2\/pages\/103\/revisions"}],"predecessor-version":[{"id":4216,"href":"https:\/\/faculty.uccs.edu\/goman\/wp-json\/wp\/v2\/pages\/103\/revisions\/4216"}],"wp:attachment":[{"href":"https:\/\/faculty.uccs.edu\/goman\/wp-json\/wp\/v2\/media?parent=103"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}