Chapman, S. T.; Kaplan, Nathan; Lemburg, Tyler; Niles, Andrew; Zlogar, Christina Shifts of generators and delta sets of numerical monoids. (English) Zbl 1315.20054 Int. J. Algebra Comput. 24, No. 5, 655-669 (2014). Reviewer: Pedro A. García Sánchez (Granada) MSC: 20M14 20M05 20D60 11B75 PDFBibTeX XMLCite \textit{S. T. Chapman} et al., Int. J. Algebra Comput. 24, No. 5, 655--669 (2014; Zbl 1315.20054) Full Text: DOI
Chapman, S. T.; García-Sánchez, P. A.; Llena, D.; Malyshev, A.; Steinberg, D. On the delta set and the Betti elements of a BF-monoid. (English) Zbl 1277.20071 Arab. J. Math. 1, No. 1, 53-61 (2012). Reviewer: Nathan Kaplan (New Haven) MSC: 20M14 11D07 20M05 11B75 PDFBibTeX XMLCite \textit{S. T. Chapman} et al., Arab. J. Math. 1, No. 1, 53--61 (2012; Zbl 1277.20071) Full Text: DOI
Chapman, Scott T.; Smith, William W. Erdős-Zaks all divisor sets. (English) Zbl 1263.20056 Period. Math. Hung. 64, No. 2, 227-246 (2012). Reviewer: Moshe Roitman (Haifa) MSC: 20M13 11R27 11B75 13F15 20M05 20K01 PDFBibTeX XMLCite \textit{S. T. Chapman} and \textit{W. W. Smith}, Period. Math. Hung. 64, No. 2, 227--246 (2012; Zbl 1263.20056) Full Text: DOI
Chapman, S. T.; Steinberg, David On the elasticity of generalized arithmetical congruence monoids. (English) Zbl 1203.20058 Result. Math. 58, No. 3-4, 221-231 (2010). MSC: 20M14 11A51 20M05 13F05 20M13 PDFBibTeX XMLCite \textit{S. T. Chapman} and \textit{D. Steinberg}, Result. Math. 58, No. 3--4, 221--231 (2010; Zbl 1203.20058) Full Text: DOI
Chapman, S. T.; Daigle, Jay; Hoyer, Rolf; Kaplan, Nathan Delta sets of numerical monoids using nonminimal sets of generators. (English) Zbl 1209.20058 Commun. Algebra 38, No. 7, 2622-2634 (2010). Reviewer: Władysław Narkiewicz (Wrocław) MSC: 20M14 20M05 11B75 20M13 PDFBibTeX XMLCite \textit{S. T. Chapman} et al., Commun. Algebra 38, No. 7, 2622--2634 (2010; Zbl 1209.20058) Full Text: DOI
Chapman, Scott T.; Hoyer, Rolf; Kaplan, Nathan Delta sets of numerical monoids are eventually periodic. (English) Zbl 1204.20078 Aequationes Math. 77, No. 3, 273-279 (2009). MSC: 20M14 20M05 11B75 20D60 PDFBibTeX XMLCite \textit{S. T. Chapman} et al., Aequationes Math. 77, No. 3, 273--279 (2009; Zbl 1204.20078) Full Text: DOI
Baginski, Paul; Chapman, Scott T.; Schaeffer, George J. On the delta set of a singular arithmetical congruence monoid. (English) Zbl 1203.20057 J. Théor. Nombres Bordx. 20, No. 1, 45-59 (2008). MSC: 20M14 11A51 20M05 13F05 20M13 PDFBibTeX XMLCite \textit{P. Baginski} et al., J. Théor. Nombres Bordx. 20, No. 1, 45--59 (2008; Zbl 1203.20057) Full Text: DOI EuDML Link
Chapman, Scott T.; Smith, William W. An inequality concerning the elasticity of Krull monoids with divisor class group \(\mathbb{Z}_p\). (English) Zbl 1167.20032 Ric. Mat. 56, No. 1, 107-117 (2007). MSC: 20M14 13F05 20M05 13A05 11A51 PDFBibTeX XMLCite \textit{S. T. Chapman} and \textit{W. W. Smith}, Ric. Mat. 56, No. 1, 107--117 (2007; Zbl 1167.20032) Full Text: DOI
Chang, Sooah; Chapman, Scott T.; Smith, William W. On minimum delta set values in block monoids over cyclic groups. (English) Zbl 1128.20047 Ramanujan J. 14, No. 1, 155-171 (2007). Reviewer: Robert F. Tichy (Graz) MSC: 20M14 11A51 11A55 20M05 20M25 11B75 20D60 20K01 PDFBibTeX XMLCite \textit{S. Chang} et al., Ramanujan J. 14, No. 1, 155--171 (2007; Zbl 1128.20047) Full Text: DOI
Banister, M.; Chaika, J.; Chapman, S. T.; Meyerson, W. On the arithmetic of arithmetical congruence monoids. (English) Zbl 1142.20038 Colloq. Math. 108, No. 1, 105-118 (2007). Reviewer: David F. Anderson (Knoxville) MSC: 20M14 11A51 20M05 13F05 PDFBibTeX XMLCite \textit{M. Banister} et al., Colloq. Math. 108, No. 1, 105--118 (2007; Zbl 1142.20038) Full Text: DOI
Baginski, Paul; Chapman, Scott T.; Crutchfield, Christopher; Kennedy, K. Grace; Wright, Matthew Elastic properties and prime elements. (English) Zbl 1115.20051 Result. Math. 49, No. 3-4, 187-200 (2006). Reviewer: Robert F. Tichy (Graz) MSC: 20M14 13F15 20M05 PDFBibTeX XMLCite \textit{P. Baginski} et al., Result. Math. 49, No. 3--4, 187--200 (2006; Zbl 1115.20051) Full Text: DOI
Chapman, S. T.; Rosales, J. C. On the asymptotic values of length functions in Krull and finitely generated commutative monoids. (English) Zbl 1078.20059 J. Aust. Math. Soc. 74, No. 3, 421-436 (2003). Reviewer: David F. Anderson (Knoxville) MSC: 20M14 20M05 13F05 20M25 11Y05 PDFBibTeX XMLCite \textit{S. T. Chapman} and \textit{J. C. Rosales}, J. Aust. Math. Soc. 74, No. 3, 421--436 (2003; Zbl 1078.20059) Full Text: DOI
Chapman, Scott; Geroldinger, Alfred Krull domains and monoids, their sets of lengths, and associated combinatorial problems. (English) Zbl 0897.13001 Anderson, Daniel D. (ed.), Factorization in integral domains. Based on the proceedings of the conference, March 21, 1996, and the special session in commutative ring theory, March 22–23, 1996, at the 909th meeting of the American Mathematical Society, Iowa City, IA, USA. New York, NY: Marcel Dekker. Lect. Notes Pure Appl. Math. 189, 73-112 (1997). Reviewer: C.Galindo (Castellon) MSC: 13A05 13F15 13G05 11R27 13F05 20M05 20M14 PDFBibTeX XMLCite \textit{S. Chapman} and \textit{A. Geroldinger}, Lect. Notes Pure Appl. Math. 189, 73--112 (1997; Zbl 0897.13001)