Smertnig, Daniel Factorizations in bounded hereditary Noetherian prime rings. (English) Zbl 1460.16012 Proc. Edinb. Math. Soc., II. Ser. 62, No. 2, 395-442 (2019). MSC: 16E60 16P40 16U30 19A49 20M13 PDF BibTeX XML Cite \textit{D. Smertnig}, Proc. Edinb. Math. Soc., II. Ser. 62, No. 2, 395--442 (2019; Zbl 1460.16012) Full Text: DOI arXiv OpenURL
Abbes, S.; Gouëzel, S.; Jugé, V.; Mairesse, J. Asymptotic combinatorics of Artin-Tits monoids and of some other monoids. (English) Zbl 1468.20107 J. Algebra 525, 497-561 (2019). MSC: 20M32 20M05 05A16 20F36 60B15 68Q70 PDF BibTeX XML Cite \textit{S. Abbes} et al., J. Algebra 525, 497--561 (2019; Zbl 1468.20107) Full Text: DOI arXiv OpenURL
Gebhardt, Volker; Tawn, Stephen On the penetration distance in Garside monoids. (English) Zbl 1380.20038 J. Algebra 451, 544-576 (2016). MSC: 20F36 20M05 43A07 20F69 60B15 PDF BibTeX XML Cite \textit{V. Gebhardt} and \textit{S. Tawn}, J. Algebra 451, 544--576 (2016; Zbl 1380.20038) Full Text: DOI arXiv OpenURL
Manning, Jeffrey A. EZADS inputs which produce half-factorial block monoids. (English) Zbl 1330.20086 Semigroup Forum 90, No. 3, 775-799 (2015). Reviewer: Władysław Narkiewicz (Wrocław) MSC: 20M13 20M14 20M05 11A07 20D60 20K01 PDF BibTeX XML Cite \textit{J. A. Manning}, Semigroup Forum 90, No. 3, 775--799 (2015; Zbl 1330.20086) Full Text: DOI OpenURL
García-García, J. I.; Moreno-Frías, M. A.; Vigneron-Tenorio, A. Computation of the \(\omega\)-primality and asymptotic \(\omega\)-primality with applications to numerical semigroups. (English) Zbl 1337.20067 Isr. J. Math. 206, 395-411 (2015). Reviewer: Nathan Kaplan (Irvine) MSC: 20M14 20M05 13A05 20M13 PDF BibTeX XML Cite \textit{J. I. García-García} et al., Isr. J. Math. 206, 395--411 (2015; Zbl 1337.20067) Full Text: DOI arXiv OpenURL
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 PDF BibTeX XML Cite \textit{S. T. Chapman} et al., Int. J. Algebra Comput. 24, No. 5, 655--669 (2014; Zbl 1315.20054) Full Text: DOI OpenURL
Baeth, Nicholas R.; Cassity, Kaitlyn \(k\)-furcus semigroups. (English) Zbl 1278.20078 Involve 5, No. 3, 295-302 (2012). Reviewer: Pedro A. García Sánchez (Granada) MSC: 20M13 20M14 20M05 05C25 11B75 13A05 PDF BibTeX XML Cite \textit{N. R. Baeth} and \textit{K. Cassity}, Involve 5, No. 3, 295--302 (2012; Zbl 1278.20078) Full Text: DOI Link OpenURL
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 PDF BibTeX XML Cite \textit{S. T. Chapman} et al., Arab. J. Math. 1, No. 1, 53--61 (2012; Zbl 1277.20071) Full Text: DOI OpenURL
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 PDF BibTeX XML Cite \textit{S. T. Chapman} and \textit{W. W. Smith}, Period. Math. Hung. 64, No. 2, 227--246 (2012; Zbl 1263.20056) Full Text: DOI OpenURL
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 PDF BibTeX XML Cite \textit{S. T. Chapman} and \textit{D. Steinberg}, Result. Math. 58, No. 3--4, 221--231 (2010; Zbl 1203.20058) Full Text: DOI OpenURL
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 PDF BibTeX XML Cite \textit{S. T. Chapman} et al., Commun. Algebra 38, No. 7, 2622--2634 (2010; Zbl 1209.20058) Full Text: DOI OpenURL
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 PDF BibTeX XML Cite \textit{S. T. Chapman} et al., Aequationes Math. 77, No. 3, 273--279 (2009; Zbl 1204.20078) Full Text: DOI OpenURL
Geroldinger, Alfred Additive group theory and non-unique factorizations. (English) Zbl 1221.20045 Geroldinger, Alfred et al., Combinatorial number theory and additive group theory. With a foreword by Javier Cilleruelo, Marc Noy and Oriol Serra (Coordinators of the DocCourse). Basel: Birkhäuser (ISBN 978-3-7643-8961-1/pbk; 978-3-7643-8962-8/ebook). Advanced Courses in Mathematics - CRM Barcelona, 1-86 (2009). MSC: 20M14 11B13 11B75 11A51 13A05 11R27 20M13 13F05 20M05 20D60 PDF BibTeX XML Cite \textit{A. Geroldinger}, in: Combinatorial number theory and additive group theory. With a foreword by Javier Cilleruelo, Marc Noy and Oriol Serra (Coordinators of the DocCourse). Basel: Birkhäuser. 1--86 (2009; Zbl 1221.20045) OpenURL
Adams, Donald; Ardila, Rene; Hannasch, David; Kosh, Audra; McCarthy, Hanah; Ponomarenko, Vadim; Rosenbaum, Ryan Bifurcus semigroups and rings. (English) Zbl 1190.20046 Involve 2, No. 3, 351-356 (2009). MSC: 20M14 13A05 20M05 20M13 11A51 PDF BibTeX XML Cite \textit{D. Adams} et al., Involve 2, No. 3, 351--356 (2009; Zbl 1190.20046) Full Text: DOI OpenURL
Baeth, Nicholas; Hoffmeier, Justin Atoms of the relative block monoid. (English) Zbl 1231.20055 Involve 2, No. 1, 29-36 (2009). MSC: 20M14 20M05 11B75 20M13 11R27 13F05 11P70 PDF BibTeX XML Cite \textit{N. Baeth} and \textit{J. Hoffmeier}, Involve 2, No. 1, 29--36 (2009; Zbl 1231.20055) Full Text: DOI OpenURL
Freeze, Michael; Geroldinger, Alfred Unions of sets of lengths. (English) Zbl 1228.20046 Funct. Approximatio, Comment. Math. 39, Part 1, 149-162 (2008). Reviewer: Władysław Narkiewicz (Wrocław) MSC: 20M13 11R27 13F05 13F15 20M14 20M05 PDF BibTeX XML Cite \textit{M. Freeze} and \textit{A. Geroldinger}, Funct. Approximatio, Comment. Math. 39, Part 1, 149--162 (2008; Zbl 1228.20046) Full Text: DOI Euclid OpenURL
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 PDF BibTeX XML Cite \textit{P. Baginski} et al., J. Théor. Nombres Bordx. 20, No. 1, 45--59 (2008; Zbl 1203.20057) Full Text: DOI EuDML Link OpenURL
Gray, R. Hall’s condition and idempotent rank of ideals of endomorphism monoids. (English) Zbl 1138.20056 Proc. Edinb. Math. Soc., II. Ser. 51, No. 1, 57-72 (2008). Reviewer: Jaak Henno (Tallinn) MSC: 20M20 20M05 05C70 PDF BibTeX XML Cite \textit{R. Gray}, Proc. Edinb. Math. Soc., II. Ser. 51, No. 1, 57--72 (2008; Zbl 1138.20056) Full Text: DOI OpenURL
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 PDF BibTeX XML Cite \textit{S. T. Chapman} and \textit{W. W. Smith}, Ric. Mat. 56, No. 1, 107--117 (2007; Zbl 1167.20032) Full Text: DOI OpenURL
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 PDF BibTeX XML Cite \textit{S. Chang} et al., Ramanujan J. 14, No. 1, 155--171 (2007; Zbl 1128.20047) Full Text: DOI OpenURL
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 PDF BibTeX XML Cite \textit{M. Banister} et al., Colloq. Math. 108, No. 1, 105--118 (2007; Zbl 1142.20038) Full Text: DOI OpenURL
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 PDF BibTeX XML Cite \textit{P. Baginski} et al., Result. Math. 49, No. 3--4, 187--200 (2006; Zbl 1115.20051) Full Text: DOI Link OpenURL
Foroutan, Andreas; Hassler, Wolfgang Factorization of powers in \(C\)-monoids. (English) Zbl 1116.20042 J. Algebra 304, No. 2, 755-781 (2006). Reviewer: Robert F. Tichy (Graz) MSC: 20M14 11A51 20M05 13G05 PDF BibTeX XML Cite \textit{A. Foroutan} and \textit{W. Hassler}, J. Algebra 304, No. 2, 755--781 (2006; Zbl 1116.20042) Full Text: DOI OpenURL
Hassler, Wolfgang A note on sets of lengths of powers of elements of finitely generated monoids. (English) Zbl 1108.11083 Chapman, Scott T. (ed.), Arithmetical properties of commutative rings and monoids. Boca Raton, FL: Chapman & Hall/CRC (ISBN 0-8247-2327-9/pbk). Lecture Notes in Pure and Applied Mathematics 241, 293-303 (2005). Reviewer: Carlos Galindo (Castellon) MSC: 11R27 13A05 13G05 20M14 20M05 PDF BibTeX XML Cite \textit{W. Hassler}, Lect. Notes Pure Appl. Math. 241, 293--303 (2005; Zbl 1108.11083) OpenURL
Foroutan, Andreas; Geroldinger, Alfred Monotone chains of factorizations in C-monoids. (English) Zbl 1095.20040 Chapman, Scott T. (ed.), Arithmetical properties of commutative rings and monoids. Boca Raton, FL: Chapman & Hall/CRC (ISBN 0-8247-2327-9/pbk). Lecture Notes in Pure and Applied Mathematics 241, 99-113 (2005). Reviewer: Franz Halter-Koch (Graz) MSC: 20M14 13A05 13G05 11R27 20M05 PDF BibTeX XML Cite \textit{A. Foroutan} and \textit{A. Geroldinger}, Lect. Notes Pure Appl. Math. 241, 99--113 (2005; Zbl 1095.20040) OpenURL
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 PDF BibTeX XML Cite \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 OpenURL
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 PDF BibTeX XML Cite \textit{S. Chapman} and \textit{A. Geroldinger}, Lect. Notes Pure Appl. Math. 189, 73--112 (1997; Zbl 0897.13001) OpenURL
Duchamp, Gérard; Krob, Daniel Lazard’s factorizations of free partially commutative monoids. (English) Zbl 0766.68075 Automata, languages and programming, Proc. 18th Int. Colloq., Madrid/Spain 1991, Lect. Notes Comput. Sci. 510, 242-253 (1991). MSC: 68Q45 20M35 20M05 08A70 PDF BibTeX XML Cite \textit{G. Duchamp} and \textit{D. Krob}, Lect. Notes Comput. Sci. 510, 242--253 (1991; Zbl 0766.68075) OpenURL
Berstel, Jean; Perrin, Dominique Theory of codes. (English) Zbl 0587.68066 Pure and Applied Mathematics, 117. Orlando etc.: Academic Press, Inc. XIV, 433 P. $ 60.00; £60.00 (1985). Reviewer: C.Reutenauer MSC: 68Q45 68Q70 68-01 94-01 94A45 20M35 20M05 20M12 20B20 60B99 16S10 PDF BibTeX XML OpenURL
Berstel, J.; Perrin, D. Codes circulaires. (French) Zbl 0563.68063 Combinatorics on words. Progress and perspectives, Proc. Int. Meet., Waterloo/Can. 1982, 133-165 (1983). Reviewer: G.Orman MSC: 68Q45 20M05 20M35 PDF BibTeX XML OpenURL
Gessel, Ira A noncommutative generalization and q-analog of the Lagrange inversion formula. (English) Zbl 0459.05014 Trans. Am. Math. Soc. 257, 455-482 (1980). MSC: 05A19 05A15 05C05 11P81 20M05 PDF BibTeX XML Cite \textit{I. Gessel}, Trans. Am. Math. Soc. 257, 455--482 (1980; Zbl 0459.05014) Full Text: DOI OpenURL
Perrin, Dominique Series formelles et combinatoire dans le monoide libre. (French) Zbl 0399.68078 Series formelles en variables non commutatives et applications, Actes 5ieme Ec. de Printemps d’Inf. theor., Vieux-Boucau les Bains 1977, 237-242 (1978). MSC: 68T99 20M35 PDF BibTeX XML OpenURL