C.V. & Publications

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
[58] Countably coverable rings (with Nick Werner), Communications in Algebra, to appear, 12 pages.
[57] A characterization of potent rings, Glasgow Mathematical Journal, to appear, 5 pages.
[56] Almost strongly unital rings (with Evan Senkoff**), Involve, to appear, 11 pages.
[55] Unital rings with cardinality restrictions on unital subrings, Mediterranean Journal of Mathematics 20 (2023), no. 1, Paper Number 14, 13 pp.
[54] Modules whose submodule lattice is lower finite (with Luke Harmon*), Journal of Algebra and Its Applications 20 (2021), no. 12, 2150230, 16 pp.
[53] A characterization of large Dedekind domains, Archiv der Mathematik 115 (2020), no. 2, 159-168.
[52] Rings with arithmetical closure properties relative to the prime spectrum and its complement, Communications in Algebra 48 (2020), no. 5, 2041-2050.
[51] Rings whose subrings have an identity (with John Stroud**), Involve 13 (2020), no. 5, 823-828.
[50] An infinite cardinal-valued Krull dimension for rings (with Alan Loper and Zak Mesyan), Journal of Algebra 517 (2019), 223-248.
[49] Infinite sums in totally ordered abelian groups (with Caitlin Randall** and Logan Robinson**), Involve 12 (2019), no. 2, 281-300.
[48] Residually small commutative rings (with Adam Salminen), Journal of Commutative Algebra 10 (2018), no. 2, 187-211.
[47] Residual smallness in commutative algebra (with Adam Salminen), Communications in Algebra 46 (2018), no. 5, 2109-2122.
[46] Rings isomorphic to their nontrivial subrings (with Jacob Lojewski**), Involve 11 (2018), no. 5, 877-883.
[45] Elementarily lambda-homogeneous binary functions, Algebra Universalis 78 (2017), no. 2, 147-157.
[44] Factorization theory of root closed monoids of small rank (with Jim Coykendall), Communications in Algebra 45 (2017), no. 7, 2795-2808.
[43] Polynomial and power series rings with finite quotients (with Adam Salminen), Houston Journal of Mathematics 43 (2017), no. 1, 31-38.
[42] Turning automatic continuity around: automatic homomorphisms (with Ryan Berndt), Real Analysis Exchange 41 (2016), no. 2, 271-286.
[41] Unifying some notions of infinity in ZC and ZF, Reports on Mathematical Logic 51 (2016), 43-56.
[40] Divisible multiplicative groups of fields, Journal of Algebra 453 (2016), 177-188.
[39] The axiomatizability of the class of root closed monoids (with Alan Loper and Nick Werner), Semigroup Forum 91 (2015), no. 3, 737-740.
[38] The theory of integrally closed domains is not finitely axiomatizable, Mathematical Logic Quarterly 61 (2015), no. 1-2, 120-122.
[37] A note on strongly Jonsson binary relational structures, Algebra Universalis 73 (2015), no. 1, 97-101.
[36] Strongly Jonsson and strongly HS modules, Journal of Pure and Applied Algebra 218 (2014), no. 8, 1385-1399.
[35] Commutative rings with infinitely many maximal subrings (with Alborz Azarang), Journal of Algebra and Its Applications 13 (2014), no. 6, 1450037, 29 pp.
[34] Small and large ideals of an associative ring, Journal of Algebra and Its Applications 13 (2014), no. 5, 1350151, 20 pp.
[33] Modules which are isomorphic to their factor modules (with Adam Salminen), Communications in Algebra 41 (2013), no. 4, 1300-1315.
[32] Jonsson posets and unary Jonsson algebras (with Keith Kearnes), Algebra Universalis 69 (2013), no. 3, 101-112.
[31] Rings whose multiplicative endomorphisms are power functions, Semigroup Forum 86 (2013), no. 2, 272-278.
[30] Rings which admit faithful torsion modules II (with Ryan Schwiebert*), Journal of Algebra and Its Applications 11 (2012), no. 3, 1250054, 12 pp.
[29] Rings which admit faithful torsion modules (with Ryan Schwiebert*), Communications in Algebra 40 (2012), no. 6, 2184-2198.
[28] On modules whose proper homomorphic images are of smaller cardinality (with Adam Salminen), Canadian Mathematical Bulletin 55 (2012), no. 2, 378-389.
[27] On elementarily kappa-homogeneous unary structures, Forum Mathematicum 23 (2011), no. 4, 791-802.
[26] Cardinalities of residue fields of Noetherian integral domains (with Keith Kearnes), Communications in Algebra 38 (2010), no. 10, 3580-3588.
[25] Jonsson modules over Noetherian rings, Communications in Algebra 38 (2010), no. 9, 3489-3498.
[24] On the axiom of union, Archive for Mathematical Logic 49 (2010), no. 3, 283-289.
[23] More results on congruent modules, Journal of Pure and Applied Algebra 213 (2009), no. 11, 2147-2155.
[22] On modules M for which N~M for every submodule N of size |M|, Journal of Commutative Algebra 1 (2009), no. 4, 679-699.
[21] Ring semigroups whose subsemigroups intersect, Semigroup Forum 79 (2009), no. 2, 413-416.
[20] Ring semigroups whose subsemigroups form a chain, Semigroup Forum 78 (2009), no. 2, 371-374.
[19] Some results on Jonsson modules over a commutative ring, Houston Journal of Mathematics 35 (2009), no. 1, 1-12.
[18] On infinite modules M over a Dedekind domain for which N~M for every submodule N of cardinality |M|, Rocky Mountain Journal of Mathematics 39 (2009), no. 1, 259-270.
[17] A note on the n-generator property for commutative monoids, Semigroup Forum 74 (2007), no. 1,155-158.

Miscellaneous Refereed Papers
[16] Getting to the root of the root law for limits (with Van Hovenga**), International Journal of Mathematical Education in Science and Technology 53 (2022), no. 11, 3162-3165.
[15] Calculating complex cosine clusters (with Niles Johnson and Alan Loper), Pi Mu Epsilon Journal 15 (2022), no. 7, 405-414.
[14] Problem-posing: a look behind the scenes, Pi Mu Epsilon Journal 15 (2020), no. 1, 111-118.
[13] A short proof of the Bolzano-Weierstrass Theorem (with Katrina Biele**), College Mathematics Journal 48 (2017), no. 4, 288-289.
[12] A radical excursion: from irrational roots to Prufer domains and back (with Ben Griffith**), Pi Mu Epsilon Journal, 14 (2016), no. 5, 327-332.
[11] Game show shenanigans: Monty Hall meets mathematical logic (with Greg Morrow and Adam Salminen), Elemente der Mathematik 71 (2016), no. 4, 145-155.
[10] I’m thinking of a number… (with Adam Hammett ), Missouri Journal of Mathematical Sciences 28 (2016), no. 1, 31-48.
[9] A characterization of the cyclic groups by subgroup indices (with Victoria Slattum**), College Mathematics Journal 47 (2016), no. 1, 29-33.
[8] The converse of the Intermediate Value Theorem: from Conway to Cantor to cosets and beyond, Missouri Journal of Mathematical Sciences 26 (2014), no. 2, 134-150.
[7] Jonsson and HS modules over commutative rings, International Journal of Mathematics and Mathematical Sciences (2014), 120907, 13 pp.
[6] Groups whose subgroups have distinct cardinalities, Pi Mu Epsilon Journal 14 (2014), no. 1, 31-37.
[5] Group permutations which preserve subgroups (with Veronica Marth**), Pi Mu Epsilon Journal 13 (2012), no. 7, 407-414.
[4] The number of homomorphic images of an abelian group, International Journal of Algebra 5 (2011), no. 3, 107-115.
[3] An independent axiom system for the real numbers, College Mathematics Journal 40 (2009), no. 2, 78-86.
[2] Jonsson modules over commutative rings, Chapter 1 of “Commutative Rings: New Research”, Nova Science Publishers, New York (2009), 1-6. (invited chapter)

Published Interview
[1] Alicia Prieto-Langarica, A life in search of problems, Focus, August/September (2022), 26-28. (an interview of myself along with the problem editors of American Mathematical Monthly, Mathematics Magazine, and Math Horizons)

(Refereed) Problems Posed
[81] Problem #??? (with Nick Fiala), College Mathematics Journal, to appear.
[80] Problem #??? (with Aslanbek Naziev), College Mathematics Journal, to appear.
[79] Problem #??? (with Aslanbek Naziev), College Mathematics Journal, to appear.
[78] Problem #??? (with Aslanbek Naziev), College Mathematics Journal, to appear.
[77] Problem #???, College Mathematics Journal, to appear.
[76] Problem #???, College Mathematics Journal, to appear.
[75] Problem #??? (with Nick Fiala), College Mathematics Journal, to appear.
[74] Problem #???, College Mathematics Journal, to appear.
[73] Problem #???, College Mathematics Journal, to appear.
[72] Problem #??? (with Eden Ketchum**), College Mathematics Journal, to appear.
[71] Problem #???, College Mathematics Journal, to appear.
[70] Problem #???, College Mathematics Journal, to appear.
[69] Problem #1235, College Mathematics Journal 53 (2022) no. 4, p. 320.
[68] Problem #1228, College Mathematics Journal 53 (2022) no. 3, p. 237.
[67] Problem #1219, College Mathematics Journal 53 (2022) no. 1, p. 70.
[66] Problem #1215, College Mathematics Journal, 52 (2021), no. 5, p. 388.
[65] Problem #1210, College Mathematics Journal 52 (2021), no. 4, p. 307.
[64] Problem #1198 (with Alan Loper), College Mathematics Journal 52 (2021), no. 2, p. 142.
[63] Problem #1192, College Mathematics Journal 52 (2021), no. 1, p. 64.
[62] Problem #1185, College Mathematics Journal 51 (2020), no. 4, p. 306.
[61] Problem #1179, College Mathematics Journal 51 (2020), no. 3, p. 246.
[60] Problem #1173, College Mathematics Journal 51 (2020), no. 2, pp. 146-147.
[59] Problem #1166, College Mathematics Journal 51 (2020), no. 1, p. 66.
[58] Problem #1356 (with Ikko Saito), Pi Mu Epsilon Journal, Spring 2019.
[57] Problem #1155, College Mathematics Journal 50 (2019), no. 3, p. 225.
[56] Problem #1150, College Mathematics Journal 50 (2019), no. 2, p. 144.
[55] Problem #1088 (with Luke Harmon*), Mathematics Magazine 92 (2019), no. 1, p. 73.
[54] Problem #1145, College Mathematics Journal 50 (2019), no. 1, p. 62.
[53] Problem #12089 (with Adam Salminen), American Mathematical Monthly 126 (2019), no. 1, p. 83.
[52] Problem #1140, College Mathematics Journal 49 (2018), no. 5, p. 372.
[51] Problem #1334, College Mathematics Journal 49 (2018), no. 4, p. 296.
[50] Problem #12036, American Mathematical Monthly 125 (2018), no. 4, p. 370.
[49] Problem #2043 (with Adam Salminen), Mathematics Magazine 91 (2018), no. 2, p. 151.
[48] Problem #1125, College Mathematics Journal 49 (2018), no. 2, p. 141.
[47] Problem #1078 , Mathematics Magazine 91 (2018), no. 1, p. 72.
[46] Problem #1118 (with Logan Robinson**), College Mathematics Journal 49 (2018), no. 1, p. 61.
[45] Problem #12010 (with Adam Salminen), American Mathematical Monthly 124 (2017), no. 10, p. 971.
[44] Problem #1111, College Mathematics Journal 48 (2017), no. 5, p. 370.
[43] Problem #1106, College Mathematics Journal 48 (2017), no. 4, p. 292.
[42] Problem #2019, Mathematics Magazine 90 (2017), no. 2, p. 145.
[41] Problem #353 (with Adam Hammett), Math Horizons 23 (2017), no. 3, p. 30.
[40] Problem #1104, College Mathematics Journal 48 (2017), no. 3, p. 220.
[39] Problem #1103, College Mathematics Journal 48 (2017), no. 3, p. 220.
[38] Problem #1332, Pi Mu Epsilon Journal, Spring 2017.
[37] Problem #1331, Pi Mu Epsilon Journal, Spring 2017.
[36] Problem #1096 (with Adam Salminen), College Mathematics Journal 48 (2017), no. 2, p. 138.
[35] Problem #1095 (with Keith Kearnes), College Mathematics Journal 48 (2017), no. 1, p. 59.
[34] Problem #1093, College Mathematics Journal 48 (2017), no. 1, p. 58.
[33] Problem #2009, Mathematics Magazine 89 (2016), no. 5, p. 379.
[32] Problem #11943 (with Keith Kearnes), American Mathematical Monthly 123 (2016), no. 10, p. 1050.
[31] Problem #1078, College Mathematics Journal 43 (2016), no. 3, pp. 221-222.
[30] Problem #1998, Mathematics Magazine 89 (2016), no. 3, pp. 223-224.
[29] Problem #11887 (with Luke Harmon*), American Mathematical Monthly 123 (2016), no. 2, p. 197.
[28] Problem #1067, College Mathematics Journal 47 (2016), no. 1, p. 61.
[27] Problem #1054, College Mathematics Journal 46 (2015), no. 3, p. 221.
[26] Problem #326 (with Alan Loper), Math Horizons 23 (2015), no. 1, p. 30.
[25] Problem #318, Math Horizons 22 (2015), no. 3, p. 30.
[24] Problem #11813, American Mathematical Monthly 122 (2015), no. 1, p. 76.
[23] Problem #11750, American Mathematical Monthly 121 (2014), no. 1, p. 83.
[22] Problem #1934, Mathematics Magazine 86 (2013), no. 5, p. 382.
[21] Problem #1011, College Mathematics Journal 44 (2013), no. 5, p. 437.
[20] Problem #1006, College Mathematics Journal 44 (2013), no. 4, p. 325.
[19] Problem #11702, American Mathematical Monthly 120 (2013), no. 4, p. 365.
[18] Problem #11658, American Mathematical Monthly 119 (2012), no. 7, p. 608.
[17] Problem #985, College Mathematics Journal 43 (2012), no. 4, p. 338.
[16] Problem #1900, Mathematics Magazine 85 (2012), no. 3, p. 229.
[15] Problem #977, College Mathematics Journal 43 (2012), no. 3, p. 257.
[14] Problem #968, College Mathematics Journal 43 (2012), no. 1, p. 95.
[13] Problem #11617, American Mathematical Monthly 119 (2012), no. 1, p. 68.
[12] Problem #946, College Mathematics Journal 42 (2011), no. 2, p. 151.
[11] Problem #940, College Mathematics Journal 41 (2010), no. 5, p. 410.
[10] Problem #1211, Pi Mu Epsilon Journal, Fall 2009.
[9] Problem #11451, American Mathematical Monthly 116 (2009), no. 7, p. 648.
[8] Problem #1825 (with Kevin Schoenecker), Mathematics Magazine 82 (2009), no. 3, p. 228.
[7] Problem #892, College Mathematics Journal 40 (2009), no. 1, p. 55.
[6] Problem #1810, Mathematics Magazine 81 (2008), no. 5, p. 376.
[5] Problem #871, College Mathematics Journal 39 (2008), no. 2, p. 153.
[4] Problem #11284, American Mathematical Monthly 114 (2007), no. 4, p. 358.
[3] Problem #203, Math Horizons, 14 (2006), no. 1, p. 40.
[2] Problem #820, College Mathematics Journal 37 (2006), no. 1, p. 60.
[1] Problem #11166, American Mathematical Monthly 112 (2005), no. 7, p. 654.