“On Krull half-factorial domains with infinite cyclic divisor class group,” (with D.F. Andersonand W.W. Smith) Houston J. Math. 20(1994), 561-570.
“Some factorization properties of the ring of integer-valued polynomials,” (with D.F. Anderson,P-J. Cahen and W.W. Smith) Lecture Notes in Pure and Applied Mathematics, Marcel Dekker,171(1995), 125-142.
“On the Davenport constant, the cross number, and their application to factorization theory,”Lecture Notes in Pure and Applied Mathematics, Marcel Dekker, 171(1995), 167-190.
“Overrings of half-factorial domains, II,” (with D.F. Anderson and W.W. Smith) Comm. Algebra23(1995), 3961-3976.
“Two classes of ideals determined by integer-valued polynomials,” (with P-J. Cahen, K. Roegnerand W.W. Smith) Rend. Mat. (Roma) 16(1996), 625-636.
“A basis for the ring of polynomials integer-valued on prime numbers,” (with J-L. Chabertand W.W. Smith) Lecture Notes in Pure and Applied Mathematics, Marcel Dekker, 189(1997),271-284.
“Algebraic properties of the ring of polynomials integer-valued on prime numbers,” (with J-L.Chabert and W.W. Smith) Comm. Algebra 25(1997), 1945-1959.
“Generalized sets of length,” (with W.W. Smith) J. Algebra 200(1998), 449-471.
“Integral domains with highly non-unique factorization,” (with D.D. Anderson and J. Kwak)Results Math. 33(1998), 22-29.
“On generalized lengths of factorizations in Dedekind and Krull domains,” (with M. Freeze and W.W. Smith) Non-Noetherian Commutative Ring Theory, Kluwer Academic Publishers, 117-138.
“Equivalence classes of minimal zero-sequences modulo a prime,” (with M. Freeze and W.W.Smith) Lecture Notes in Pure and Applied Mathematics Marcel-Dekker, 220(2001), 133-146.
“On the asymptotic behavior of irreducibles in block semigroups,” (with V. DeLorenzo* and H.Swisher*) Semigroup Forum 63(2001), 34-48.
“Sets of lengths in V + XB[X] domains,” (with N. Gonzalez and S. Pellerin) Arabian J. Sci.Engrg. 26(2001), 69-82.
“The strong two-generator property in rings of integer-valued polynomials determined by finitesets,” (with A. Loper and W.W. Smith) Arch. Math. (Basel) 78(2002), 372-377.
“On the asymptotic values of length functions in Krull and finitely generated commutativemonoids,” (with J.C. Rosales) J. Aust. Math. Soc. 74(2003), 421-436.
“Cale monoids, Cale domains and Cale varieties,” (with U.Krause) Arithmetical Properties ofCommutative Rings andMonoids, Lecture Notes in Pure and Applied Mathematics 241(2005),142-171.
“An inequality concerning the elasticity of of Krull monoids with divisor class group Zp,” (withW. W. Smith) Ric. Mat. 56(2007), 107-117.
“Elasticity in certain block monoids via the euclidean table,” (with S. Chang and W. W. Smith)Math. Slovaca 57(2007), 415-454.
“Sets of lengths do not characterize numerical monoids,” (with J. Amos*, N. Hine* and J.Paixao*) Integers 7(2007), #A50.
“On the delta-set of a singular arithmetical congruence monoid,” (with P. Baginski and G.Schaeffer*) J. Théor. Nombres Bordeaux 20(2008), 45-59.
“On the asymptotic behavior of unions of sets of lengths in atomic monoids,” (with P. Baginski,N. Hine* and J. Paixao*) Involve 1(2008), 101-110.
“On minimal distances in Krull monoids with infinite classgroup,” (with W. A. Schmid and W.W. Smith) Bull. Lond. Math. Soc 40(2008), 613-618.
“Quasi-half-factorial subsets of abelian torsion groups,”(with W. A. Schmid and W. W. Smith)Houston J. Math. 35(2009), 13-22.
“The catenary and tame degree of numerical semigroups,” (with P. A. Garc´ıa-Sánchez and D.Llena) Forum Math 21(2009), 117-129.
“A theorem on accepted elasticity in certain local arithmetical congruence monoids,” (with M.Banister*, J. Chaika* and W. Meyerson*) Abh. Math. Sem. Univ. Hamburg 79(2009), 79-86.
“Delta sets of numerical monoids are eventually periodic,” (with R. Hoyer* and N. Kaplan)Aequationes Math. 77(2009), 273-279.
“Elastic properties of some semirings defined by positive systems,” (with P. Cesarz*, S. McAdamand G. Schaeffer) Proceedings of the Fifth International Fez Conference on Commutative Algebraand its Applications, Walter de Gruyter, Berlin, 2009, 89-101.
“A note on the sum of the quotient and remainder in the division algorithm,” (with D. F.Anderson and W. W. Smith) Elem. Math 64(2009), 154-159.
“A note on cancellation properties of semistar operations,” (with R. Matsuda) Int. Elect. J.Algebra 7(2010), 78-86.
“Delta sets of numerical monoids using non-minimal sets of generators,” (with G. Daigle*, R.Hoyer* and N. Kaplan) Comm. Algebra. 38(2010), 2622-2634.
“On the delta set and catenary degree of Krull Monoids with infinite cyclic divisor class group,”(with P. Baginski, R. Rodriguez*, G. Schaeffer and Y. She*) J. Pure Appl. Algebra. 214(2010),1334-1339.
“How far is an element from being prime?” (with D. F. Anderson) Journal Algebra Appl. 9(2010),1-11.
“Elasticity in generalized arithmetical congruence monoids,” (with D. Steinberg*) Results Math.58(2010), 221-231.
“Elements in a numerical semigroup with factorizations of the same length,” (with P. A. Garcıa-Sánchez, D. Llena and J. Marshall*) Canad. Math. Bull. 54(2011), 39-43.
“An algorithm to compute ω-primality in a numericalmonoid,” (with D. F. Anderson, N. Kaplanand D. Torkornoo*) Semigroup Forum 82(2011), 96-108.
“Factorizations of algebraic integers, block monoids and additive number theory,” (with P. Ba-ginski) Amer. Math. Monthly 118(2011), 901-920.
“On image sets of integer-valued polynomials,” (with V. Ponomarenko) J. Algebra 348(2011),350-353
“A closer look at non-unique factorization via atomic decay and strong atoms,” (with U. Krause)Progress in Commutative Algebra, 2, Walter de Gruyter & Co., Berlin, Germany, 2012, 301-315.
“On the Delta sets and minimal presentations of a finitely generated commutative monoid,” (withP.A. Garc´ıa-Sánchez, D. Llena, A. Malyshev and D. Steinberg) Arabian J. Math. 1(2012), 53-61.
“Erdös-Zaks all divisor sets,” (with W. W. Smith) Period. Math. Hungar. 64(2012), 227-246.
“On bounding measures of primeness in integral domains,” (with D. F. Anderson) Internat. J.Algebra Comput. 22(2012), 15 pp
“Shifts of generators and delta sets of numerical monoids,” (with N. Kaplan, T. Lemburg*, A.Niles* and C. Zlogar*) Internat. J. Algebra Comput. 24(2014), 655-669.
“A tale of two monoids: a friendly introduction to the theory of non-unique factorizations,” Math.Magazine 87(2014), 163-173.
“Arithmetic congruence monoids: A Survey,” (with P. Baginski) Combinatorial and AdditiveNumber Theory: CANT 2011 and 2012, Springer Proceedings in Mathematics and Statistics,101(2014).
“On the omega values of generators of embedding dimension three numerical monoids generatedby an interval,” (with W. Puckett* and K. Shour*) Involve 7(2014), 657-667.
“On Delta Sets and their Realizable Subsets in Krull Monoids with Cyclic Class Groups,” (withF. Gotti* and R. Pelayo) Colloq. Math. 137(2014), 137-146.
“The catenary and tame degrees on a numerical monoid are eventually periodic,” (with M.Corrales*, A. Miller*, C. Miller*, and D. Patel*) J. Aust. Math. Soc. 97(2014), 289-300.
“I prefer pi: A brief history and anthology of articles in the American Mathematical Monthly,”(with J. Borwein) Amer. Math. Monthly 122(2015), 195-216.
“ω-primality in embedding dimension three numerical semigroups,” (with P. A. Garc´ıa-Sánchez,Z. Tripp*, C. Viola) J. Algebra Appl. 63(2016).
“The catenary degree of elements in numerical monoids generated by arithmetic sequences,”(with M. Corrales*, A. Miller*, C. Miller*, and D. Patel*) Comm. Algebra 45(2017), 5443-5452.
“On length Densities,” (with C. O’Neill and V. Ponomarenko) submitted.
“On the atomicity of positive monoids and semirings,” (with F. Gotti and M. Gotti) in preparation.
The importance of being prime, a nontrivial generalization for nonunique factorizations,” (withN. Baeth) in preparation.
“Generating ideals in subrings ofK[[X]] via numerical semigroups,” in preparation.
Professional Nontechnical Writing
“REU Spotlight: Trinity University,” Math Horizons 11(2004), pp. 26-27.
“The Trinity University Research Experiences for Undergraduates in Mathematics Program,”Proceedings of the Conference on Promoting Undergraduate Research in Mathematics, AmericanMathematical Society, Providence, RI, 2007.
“Remember the Alamonoid: The Art of Factorization in Multiplicative Systems in San Antonio,”Focus 27(2007), pp. 19-20.
“A letter from the editor,” Amer. Math. Monthly 119(2012), 3.
“How to deal with a Mathematics journal Editor,” Notices Amer. Math. Soc. 63(2016), 182-184.
“Foreword,” Multiplicative Ideal Theory and Factorization Theory - Commutative and Non-Commutative Perspectives, Proceedings in Mathematics and Statistics 170(2016), Springer In-ternational, vii-xiv.
“How to deal with a Mathematics journal Editor,” Vietnamese translation,Newsletter of theVietnamese Mathematical Society3(2017), 10–14.
"I prefer pi: A brief history and anthology of articles in the American Mathematical Monthly, I”(with J. Borwein) Chinese translation,Mathematics3(2017), 207–218.
“I prefer pi: A brief history and anthology of articles in the American Mathematical Monthly, II”(with J. Borwein) Chinese translation,Mathematics4(2017), 311–319.
Non-Noetherian Commutative Ring Theory, (edited with S. Glaz) Kluwer Academic Publishers,Boston, 2000.
Arithmetical Properties of Commutative Rings and Monoids(edited), Lecture Notes in Pure andApplied Mathematics,241(2005) Chapman and Hall, New York.
Multiplicative Ideal Theory and Factorization Theory - Commutative and Non-Commutative Per-spectives(edited with M. Fontana, A. Geroldinger, and B. Olberding), Proceedings in Mathe-matics and Statistics170(2016), Springer International.
Numerical Semigroups, IMNS 2018, (edited with V. Barucci, M. D’ana, R. Froberg) SpringerINdAM Series, 2020.