Geroldinger, Alfred; Zhong, Qinghai A realization result for systems of sets of lengths. (English) Zbl 07534004 Isr. J. Math. 247, No. 1, 177-193 (2022). Reviewer: Dario Spirito (Padova) MSC: 13F05 20M13 13A05 PDF BibTeX XML Cite \textit{A. Geroldinger} and \textit{Q. Zhong}, Isr. J. Math. 247, No. 1, 177--193 (2022; Zbl 07534004) Full Text: DOI OpenURL
Geroldinger, Alfred; Grynkiewicz, David J.; Oh, Jun Seok; Zhong, Qinghai On product-one sequences over dihedral groups. (English) Zbl 07495944 J. Algebra Appl. 21, No. 4, Article ID 2250064, 58 p. (2022). MSC: 13A05 11B30 11B50 11B75 20M13 20M14 PDF BibTeX XML Cite \textit{A. Geroldinger} et al., J. Algebra Appl. 21, No. 4, Article ID 2250064, 58 p. (2022; Zbl 07495944) Full Text: DOI OpenURL
Geroldinger, Alfred; Zhong, Qinghai A characterization of length-factorial Krull monoids. (English) Zbl 1484.13044 New York J. Math. 27, 1347-1374 (2021). Reviewer: Muhammad Zafrullah (Pocatello) MSC: 13F05 20M13 20M14 13A05 16D70 16U30 PDF BibTeX XML Cite \textit{A. Geroldinger} and \textit{Q. Zhong}, New York J. Math. 27, 1347--1374 (2021; Zbl 1484.13044) Full Text: arXiv Link OpenURL
Bashir, Aqsa; Geroldinger, Alfred; Reinhart, Andreas On the arithmetic of stable domains. (English) Zbl 1476.13007 Commun. Algebra 49, No. 11, 4763-4787 (2021). Reviewer: Muhammad Zafrullah (Pocatello) MSC: 13A05 13A15 13F05 13H10 PDF BibTeX XML Cite \textit{A. Bashir} et al., Commun. Algebra 49, No. 11, 4763--4787 (2021; Zbl 1476.13007) Full Text: DOI arXiv OpenURL
Geroldinger, Alfred; Schmid, Wolfgang Alexander A characterization of Krull monoids for which sets of lengths are (almost) arithmetical progressions. (English) Zbl 1455.13002 Rev. Mat. Iberoam. 37, No. 1, 293-316 (2021). MSC: 13A05 13F05 20M13 11B30 PDF BibTeX XML Cite \textit{A. Geroldinger} and \textit{W. A. Schmid}, Rev. Mat. Iberoam. 37, No. 1, 293--316 (2021; Zbl 1455.13002) Full Text: DOI arXiv OpenURL
Gao, Weidong; Liu, Chao; Tringali, Salvatore; Zhong, Qinghai On half-factoriality of transfer Krull monoids. (English) Zbl 1457.13043 Commun. Algebra 49, No. 1, 409-420 (2021). Reviewer: Moshe Roitman (Haifa) MSC: 13F15 11B30 20M13 13F05 13A05 20M14 PDF BibTeX XML Cite \textit{W. Gao} et al., Commun. Algebra 49, No. 1, 409--420 (2021; Zbl 1457.13043) Full Text: DOI arXiv OpenURL
Geroldinger, Alfred; Gotti, Felix; Tringali, Salvatore On strongly primary monoids, with a focus on Puiseux monoids. (English) Zbl 1456.13003 J. Algebra 567, 310-345 (2021). Reviewer: Moshe Roitman (Haifa) MSC: 13A05 20M13 20M14 PDF BibTeX XML Cite \textit{A. Geroldinger} et al., J. Algebra 567, 310--345 (2021; Zbl 1456.13003) Full Text: DOI arXiv OpenURL
Geroldinger, Alfred; Roitman, Moshe On strongly primary monoids and domains. (English) Zbl 1452.13002 Commun. Algebra 48, No. 9, 4085-4099 (2020). Reviewer: Daniel Marín Aragon (Cádiz) MSC: 13A05 13F05 20M13 PDF BibTeX XML Cite \textit{A. Geroldinger} and \textit{M. Roitman}, Commun. Algebra 48, No. 9, 4085--4099 (2020; Zbl 1452.13002) Full Text: DOI arXiv OpenURL
Baeth, Nicholas R.; Enlow, Matthew Multiplicative factorization in numerical semigroups. (English) Zbl 1478.13002 Int. J. Algebra Comput. 30, No. 2, 419-430 (2020). Reviewer: Pedro A. García Sánchez (Granada) MSC: 13A05 20M14 11R27 PDF BibTeX XML Cite \textit{N. R. Baeth} and \textit{M. Enlow}, Int. J. Algebra Comput. 30, No. 2, 419--430 (2020; Zbl 1478.13002) Full Text: DOI OpenURL
Geroldinger, Alfred; Zhong, Qinghai Factorization theory in commutative monoids. (English) Zbl 1442.20037 Semigroup Forum 100, No. 1, 22-51 (2020). Reviewer: Eric Jespers (Brüssel) MSC: 20M13 20M14 13G05 PDF BibTeX XML Cite \textit{A. Geroldinger} and \textit{Q. Zhong}, Semigroup Forum 100, No. 1, 22--51 (2020; Zbl 1442.20037) Full Text: DOI arXiv OpenURL
Geroldinger, Alfred; Schmid, Wolfgang Alexander A characterization of class groups via sets of lengths. (English) Zbl 1447.11011 J. Korean Math. Soc. 56, No. 4, 869-915 (2019). Reviewer: Qinghai Zhong (Graz) MSC: 11B30 11R27 13A05 13F05 20M13 PDF BibTeX XML Cite \textit{A. Geroldinger} and \textit{W. A. Schmid}, J. Korean Math. Soc. 56, No. 4, 869--915 (2019; Zbl 1447.11011) Full Text: DOI arXiv OpenURL
Geroldinger, Alfred; Zhong, Qinghai Sets of arithmetical invariants in transfer Krull monoids. (English) Zbl 1472.13002 J. Pure Appl. Algebra 223, No. 9, 3889-3918 (2019). Reviewer: Gyu Whan Chang (Incheon) MSC: 13A05 20M13 13F05 16H10 16U30 PDF BibTeX XML Cite \textit{A. Geroldinger} and \textit{Q. Zhong}, J. Pure Appl. Algebra 223, No. 9, 3889--3918 (2019; Zbl 1472.13002) Full Text: DOI arXiv OpenURL
Gotti, Marly On the local \(k\)-elasticities of Puiseux monoids. (English) Zbl 07043322 Int. J. Algebra Comput. 29, No. 1, 147-158 (2019). MSC: 20M13 20M14 20M32 06F05 13A05 11A41 11D68 13A05 PDF BibTeX XML Cite \textit{M. Gotti}, Int. J. Algebra Comput. 29, No. 1, 147--158 (2019; Zbl 07043322) Full Text: DOI arXiv OpenURL
Fan, Yushuang; Geroldinger, Alfred Minimal relations and catenary degrees in Krull monoids. (English) Zbl 1409.13004 J. Commut. Algebra 11, No. 1, 29-47 (2019). Reviewer: Qinghai Zhong (Graz) MSC: 13A05 13F05 20M13 PDF BibTeX XML Cite \textit{Y. Fan} and \textit{A. Geroldinger}, J. Commut. Algebra 11, No. 1, 29--47 (2019; Zbl 1409.13004) Full Text: DOI arXiv Euclid OpenURL
Gotti, Felix Systems of sets of lengths of Puiseux monoids. (English) Zbl 1459.20045 J. Pure Appl. Algebra 223, No. 5, 1856-1868 (2019). Reviewer: Pedro A. García Sánchez (Granada) MSC: 20M14 20M13 PDF BibTeX XML Cite \textit{F. Gotti}, J. Pure Appl. Algebra 223, No. 5, 1856--1868 (2019; Zbl 1459.20045) Full Text: DOI arXiv OpenURL
Zhong, Qinghai A characterization of finite abelian groups via sets of lengths in transfer Krull monoids. (English) Zbl 1455.20034 Commun. Algebra 46, No. 9, 4021-4041 (2018). Reviewer: Hwankoo Kim (Asan) MSC: 20M13 11B30 11R27 13A05 13F05 PDF BibTeX XML Cite \textit{Q. Zhong}, Commun. Algebra 46, No. 9, 4021--4041 (2018; Zbl 1455.20034) Full Text: DOI arXiv OpenURL
Zhong, Qinghai Sets of minimal distances and characterizations of class groups of Krull monoids. (English) Zbl 1426.11005 Ramanujan J. 45, No. 3, 719-737 (2018). MSC: 11B30 11R27 13A05 13F05 20M13 PDF BibTeX XML Cite \textit{Q. Zhong}, Ramanujan J. 45, No. 3, 719--737 (2018; Zbl 1426.11005) Full Text: DOI arXiv OpenURL
Geroldinger, Alfred; Schwab, Emil Daniel Sets of lengths in atomic unit-cancellative finitely presented monoids. (English) Zbl 1441.20040 Colloq. Math. 151, No. 2, 171-187 (2018). MSC: 20M13 20M05 13A05 PDF BibTeX XML Cite \textit{A. Geroldinger} and \textit{E. D. Schwab}, Colloq. Math. 151, No. 2, 171--187 (2018; Zbl 1441.20040) Full Text: DOI arXiv OpenURL
Geroldinger, Alfred; Schmid, Wolfgang A.; Zhong, Qinghai Systems of sets of lengths: transfer Krull monoids versus weakly Krull monoids. (English) Zbl 1434.11036 Fontana, Marco (ed.) et al., Rings, polynomials, and modules. Proceedings of the conferences “Recent advances in commutative ring and module theory”, Bressanone/Brixen, Italy, June 13–17, 2016 and “Conference on rings and polynomials”, Graz, Austria, July 3–8, 2016. Cham: Springer. 191-235 (2017). MSC: 11B30 13A05 13F05 20M13 PDF BibTeX XML Cite \textit{A. Geroldinger} et al., in: Rings, polynomials, and modules. Proceedings of the conferences ``Recent advances in commutative ring and module theory'', Bressanone/Brixen, Italy, June 13--17, 2016 and ``Conference on rings and polynomials'', Graz, Austria, July 3--8, 2016. Cham: Springer. 191--235 (2017; Zbl 1434.11036) Full Text: DOI arXiv OpenURL
Axtell, Michael; Baeth, Nicholas R.; Stickles, Joe Factorizations in self-idealizations of PIRs and UFRs. (English) Zbl 1387.13006 Boll. Unione Mat. Ital. 10, No. 4, 649-670 (2017). MSC: 13A05 15B05 20H25 PDF BibTeX XML Cite \textit{M. Axtell} et al., Boll. Unione Mat. Ital. 10, No. 4, 649--670 (2017; Zbl 1387.13006) Full Text: DOI OpenURL
Fan, Yushuang; Geroldinger, Alfred; Kainrath, Florian; Tringali, Salvatore Arithmetic of commutative semigroups with a focus on semigroups of ideals and modules. (English) Zbl 1441.20041 J. Algebra Appl. 16, No. 12, Article ID 1750234, 42 p. (2017). Reviewer: Günter Lettl (Graz) MSC: 20M14 20M13 20M12 11P70 13A05 13F05 16D70 PDF BibTeX XML Cite \textit{Y. Fan} et al., J. Algebra Appl. 16, No. 12, Article ID 1750234, 42 p. (2017; Zbl 1441.20041) Full Text: DOI arXiv OpenURL
Geroldinger, Alfred; Zhong, Qinghai A characterization of class groups via sets of lengths. II. (English. French summary) Zbl 1410.11121 J. Théor. Nombres Bordx. 29, No. 2, 327-346 (2017). MSC: 11R27 11B50 11B75 13A05 13F05 20M13 PDF BibTeX XML Cite \textit{A. Geroldinger} and \textit{Q. Zhong}, J. Théor. Nombres Bordx. 29, No. 2, 327--346 (2017; Zbl 1410.11121) Full Text: DOI arXiv OpenURL
Geroldinger, Alfred; Schmid, Wolfgang A. A realization theorem for sets of distances. (English) Zbl 1365.13002 J. Algebra 481, 188-198 (2017). Reviewer: Qinghai Zhong (Graz) MSC: 13A05 13F05 PDF BibTeX XML Cite \textit{A. Geroldinger} and \textit{W. A. Schmid}, J. Algebra 481, 188--198 (2017; Zbl 1365.13002) Full Text: DOI arXiv OpenURL
Fan, Yushuang; Zhong, Qinghai Products of \(k\) atoms in Krull monoids. (English) Zbl 1422.20032 Monatsh. Math. 181, No. 4, 779-795 (2016). MSC: 20M13 11B30 11R27 13C20 PDF BibTeX XML Cite \textit{Y. Fan} and \textit{Q. Zhong}, Monatsh. Math. 181, No. 4, 779--795 (2016; Zbl 1422.20032) Full Text: DOI arXiv OpenURL
Geroldinger, Alfred; Schmid, Wolfgang A. The system of sets of lengths in Krull monoids under set addition. (English) Zbl 1417.11007 Rev. Mat. Iberoam. 32, No. 2, 571-588 (2016). Reviewer: Weidong Gao (Tianjin) MSC: 11B30 11P70 13A05 20M13 20M14 PDF BibTeX XML Cite \textit{A. Geroldinger} and \textit{W. A. Schmid}, Rev. Mat. Iberoam. 32, No. 2, 571--588 (2016; Zbl 1417.11007) Full Text: DOI arXiv OpenURL
Geroldinger, Alfred; Grynkiewicz, David J.; Yuan, Pingzhi On products of \(k\) atoms. II. (English) Zbl 1381.20047 Mosc. J. Comb. Number Theory 5, No. 3, 3-58 (2015). Reviewer: Władysław Narkiewicz (Wrocław) MSC: 20M13 20M14 11B30 11R27 13A05 13F05 PDF BibTeX XML Cite \textit{A. Geroldinger} et al., Mosc. J. Comb. Number Theory 5, No. 3, 3--58 (2015; Zbl 1381.20047) Full Text: arXiv Link OpenURL
García-García, J. I.; Moreno-Frías, M. A.; Vigneron-Tenorio, A. Computation of delta sets of numerical monoids. (English) Zbl 1343.20061 Monatsh. Math. 178, No. 3, 457-472 (2015). Reviewer: Nathan Kaplan (Irvine) MSC: 20M14 20M05 20M13 11B75 PDF BibTeX XML Cite \textit{J. I. García-García} et al., Monatsh. Math. 178, No. 3, 457--472 (2015; Zbl 1343.20061) Full Text: DOI arXiv Link OpenURL
Geroldinger, Alfred; Kainrath, Florian; Reinhart, Andreas Arithmetic of seminormal weakly Krull monoids and domains. (English) Zbl 1327.13006 J. Algebra 444, 201-245 (2015). Reviewer: Qinghai Zhong (Graz) MSC: 13A05 13F05 13F15 13F45 20M13 PDF BibTeX XML Cite \textit{A. Geroldinger} et al., J. Algebra 444, 201--245 (2015; Zbl 1327.13006) Full Text: DOI arXiv OpenURL
García-Sánchez, Pedro A.; Viola, Caterina When the catenary degree agrees with the tame degree in numerical semigroups of embedding dimension three. (English) Zbl 1326.20061 Involve 8, No. 4, 677-694 (2015). Reviewer: Alessio Moscariello (Pagani) MSC: 20M13 20M14 13A05 20M05 PDF BibTeX XML Cite \textit{P. A. García-Sánchez} and \textit{C. Viola}, Involve 8, No. 4, 677--694 (2015; Zbl 1326.20061) Full Text: DOI OpenURL
Geroldinger, Alfred; Zhong, Qinghai The catenary degree of Krull monoids. II. (English) Zbl 1373.20074 J. Aust. Math. Soc. 98, No. 3, 324-354 (2015). MSC: 20M13 11R27 11P70 11B50 13A05 13F05 PDF BibTeX XML Cite \textit{A. Geroldinger} and \textit{Q. Zhong}, J. Aust. Math. Soc. 98, No. 3, 324--354 (2015; Zbl 1373.20074) Full Text: DOI arXiv OpenURL
Petersen, T. Kyle; Tenner, Bridget Eileen The depth of a permutation. (English) Zbl 1317.20040 J. Comb. 6, No. 1-2, 145-178 (2015). MSC: 20F55 05A05 20B30 20F05 05A15 PDF BibTeX XML Cite \textit{T. K. Petersen} and \textit{B. E. Tenner}, J. Comb. 6, No. 1--2, 145--178 (2015; Zbl 1317.20040) Full Text: DOI arXiv 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, Scott T.; Corrales, Marly; Miller, Andrew; Miller, Chris; Patel, Dhir The catenary and tame degrees on a numerical monoid are eventually periodic. (English) Zbl 1310.20052 J. Aust. Math. Soc. 97, No. 3, 289-300 (2014). Reviewer: Pedro A. García Sánchez (Granada) MSC: 20M13 20M14 20M05 11D07 PDF BibTeX XML Cite \textit{S. T. Chapman} et al., J. Aust. Math. Soc. 97, No. 3, 289--300 (2014; Zbl 1310.20052) Full Text: DOI OpenURL
Crawford, Lorin; Ponomarenko, Vadim; Steinberg, Jason; Williams, Marla Accepted elasticity in local arithmetic congruence monoids. (English) Zbl 1308.20052 Result. Math. 66, No. 1-2, 227-245 (2014). Reviewer: Władysław Narkiewicz (Wrocław) MSC: 20M14 20M13 11A51 20D60 PDF BibTeX XML Cite \textit{L. Crawford} et al., Result. Math. 66, No. 1--2, 227--245 (2014; Zbl 1308.20052) Full Text: DOI OpenURL
Chapman, Scott T.; Gotti, Felix; Pelayo, Roberto On delta sets and their realizable subsets in Krull monoids with cyclic class groups. (English) Zbl 1323.20056 Colloq. Math. 137, No. 1, 137-146 (2014). Reviewer: Yi-Huang Shen (Hefei) MSC: 20M13 20M14 11R27 13F05 PDF BibTeX XML Cite \textit{S. T. Chapman} et al., Colloq. Math. 137, No. 1, 137--146 (2014; Zbl 1323.20056) 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
Baginski, Paul; Geroldinger, Alfred; Grynkiewicz, David J.; Philipp, Andreas Products of two atoms in Krull monoids and arithmetical characterizations of class groups. (English) Zbl 1309.20050 Eur. J. Comb. 34, No. 8, 1244-1268 (2013). Reviewer: Weidong Gao (Tianjin) MSC: 20M13 11B75 11R27 13A05 20D60 PDF BibTeX XML Cite \textit{P. Baginski} et al., Eur. J. Comb. 34, No. 8, 1244--1268 (2013; Zbl 1309.20050) Full Text: DOI OpenURL
Smertnig, Daniel Sets of lengths in maximal orders in central simple algebras. (English) Zbl 1295.16023 J. Algebra 390, 1-43 (2013). Reviewer: Eric Jespers (Brüssel) MSC: 16U30 16H10 11R54 20M13 20M05 PDF BibTeX XML Cite \textit{D. Smertnig}, J. Algebra 390, 1--43 (2013; Zbl 1295.16023) Full Text: DOI arXiv OpenURL
Frisch, Sophie A construction of integer-valued polynomials with prescribed sets of lengths of factorizations. (English) Zbl 1282.13004 Monatsh. Math. 171, No. 3-4, 341-350 (2013). Reviewer: Giulio Peruginelli (Graz) MSC: 13A05 13B25 13F20 20M13 11C08 PDF BibTeX XML Cite \textit{S. Frisch}, Monatsh. Math. 171, No. 3--4, 341--350 (2013; Zbl 1282.13004) Full Text: DOI arXiv OpenURL
Geroldinger, Alfred Non-commutative Krull monoids: a divisor theoretic approach and their arithmetic. (English) Zbl 1279.20073 Osaka J. Math. 50, No. 2, 503-539 (2013). Reviewer: Władysław Narkiewicz (Wrocław) MSC: 20M13 13F05 16H10 13A05 20M25 16P60 PDF BibTeX XML Cite \textit{A. Geroldinger}, Osaka J. Math. 50, No. 2, 503--539 (2013; Zbl 1279.20073) Full Text: arXiv Euclid OpenURL
Geroldinger, Alfred; Yuan, Pingzhi The monotone catenary degree of Krull monoids. (English) Zbl 1278.20079 Result. Math. 63, No. 3-4, 999-1031 (2013). Reviewer: Pedro A. García Sánchez (Granada) MSC: 20M13 20M14 11B13 11P70 13A05 13F05 20M05 PDF BibTeX XML Cite \textit{A. Geroldinger} and \textit{P. Yuan}, Result. Math. 63, No. 3--4, 999--1031 (2013; Zbl 1278.20079) Full Text: DOI OpenURL
García Sánchez, P. A.; Ojeda, I.; Sánchez-R.-Navarro, A. Factorization invariants in half-factorial affine semigroups. (English) Zbl 1272.20060 Int. J. Algebra Comput. 23, No. 1, 111-122 (2013). Reviewer: Władysław Narkiewicz (Wrocław) MSC: 20M13 20M14 13A05 PDF BibTeX XML Cite \textit{P. A. García Sánchez} et al., Int. J. Algebra Comput. 23, No. 1, 111--122 (2013; Zbl 1272.20060) Full Text: DOI arXiv 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
Geroldinger, Alfred; Yuan, Pingzhi The set of distances in Krull monoids. (English) Zbl 1255.13002 Bull. Lond. Math. Soc. 44, No. 6, 1203-1208 (2012). Reviewer: Pedro A. García Sánchez (Granada) MSC: 20M13 11B50 13A05 PDF BibTeX XML Cite \textit{A. Geroldinger} and \textit{P. Yuan}, Bull. Lond. Math. Soc. 44, No. 6, 1203--1208 (2012; Zbl 1255.13002) Full Text: DOI arXiv OpenURL
Blanco, V.; García-Sánchez, P. A.; Geroldinger, A. Semigroup-theoretical characterizations of arithmetical invariants with applications to numerical monoids and Krull monoids. (English) Zbl 1279.20072 Ill. J. Math. 55, No. 4, 1385-1414 (2011). Reviewer: Władysław Narkiewicz (Wrocław) MSC: 20M13 13A05 20M14 PDF BibTeX XML Cite \textit{V. Blanco} et al., Ill. J. Math. 55, No. 4, 1385--1414 (2011; Zbl 1279.20072) Full Text: Euclid OpenURL
Baginski, Paul; Chapman, Scott T. Factorizations of algebraic integers, block monoids, and additive number theory. (English) Zbl 1246.11172 Am. Math. Mon. 118, No. 10, 901-920 (2011). Reviewer: Władysław Narkiewicz (Wrocław) MSC: 11R27 11B75 13F05 13F15 20M13 20M14 PDF BibTeX XML Cite \textit{P. Baginski} and \textit{S. T. Chapman}, Am. Math. Mon. 118, No. 10, 901--920 (2011; Zbl 1246.11172) Full Text: DOI OpenURL
Chapman, S. T.; García-Sánchez, P. A.; Llena, D.; Marshall, J. Elements in a numerical semigroup with factorizations of the same length. (English) Zbl 1213.20056 Can. Math. Bull. 54, No. 1, 39-43 (2011). MSC: 20M14 20M05 11B75 13A05 PDF BibTeX XML Cite \textit{S. T. Chapman} et al., Can. Math. Bull. 54, No. 1, 39--43 (2011; Zbl 1213.20056) Full Text: DOI OpenURL
Blanco, Víctor; García-Sánchez, Pedro A.; Geroldinger, Alfred Semigroup-theoretical characterizations of arithmetical invariants with applications to numerical monoids and Krull monoids. (English) Zbl 1474.20117 Actes Rencontres C.I.R.M. 2, No. 2, 95-98 (2010). MSC: 20M14 20M13 13A05 PDF BibTeX XML Cite \textit{V. Blanco} et al., Actes Rencontres C.I.R.M. 2, No. 2, 95--98 (2010; Zbl 1474.20117) Full Text: DOI arXiv 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
Geroldinger, Alfred; Kainrath, Florian On the arithmetic of tame monoids with applications to Krull monoids and Mori domains. (English) Zbl 1207.20055 J. Pure Appl. Algebra 214, No. 12, 2199-2218 (2010). Reviewer: Wolfgang A. Schmid (Palaiseau) MSC: 20M13 13A05 13F05 20M05 PDF BibTeX XML Cite \textit{A. Geroldinger} and \textit{F. Kainrath}, J. Pure Appl. Algebra 214, No. 12, 2199--2218 (2010; Zbl 1207.20055) 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
Baginski, Paul; Chapman, S. T.; Rodriguez, Ryan; Schaeffer, George J.; She, Yiwei On the Delta set and catenary degree of Krull monoids with infinite cyclic divisor class group. (English) Zbl 1193.20071 J. Pure Appl. Algebra 214, No. 8, 1334-1339 (2010). Reviewer: Władysław Narkiewicz (Wrocław) MSC: 20M14 11B75 13F05 20M05 20D60 PDF BibTeX XML Cite \textit{P. Baginski} et al., J. Pure Appl. Algebra 214, No. 8, 1334--1339 (2010; Zbl 1193.20071) Full Text: DOI OpenURL
Schmid, Wolfgang A. Characterization of class groups of Krull monoids via their systems of sets of lengths: a status report. (English) Zbl 1244.20053 Adhikari, Sukumar Das (ed.) et al., Number theory and applications. Proceedings of the international conferences on number theory and cryptography, Allahabad, India, December 2006 and February 2007. New Delhi: Hindustan Book Agency (ISBN 978-81-85931-97-5/hbk). 189-212 (2009). Reviewer: Władysław Narkiewicz (Wrocław) MSC: 20M13 11R27 13C20 20K01 13F05 20M14 PDF BibTeX XML Cite \textit{W. A. Schmid}, in: Number theory and applications. Proceedings of the international conferences on number theory and cryptography, Allahabad, India, December 2006 and February 2007. New Delhi: Hindustan Book Agency. 189--212 (2009; Zbl 1244.20053) 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
Banister, M.; Chaika, J.; Chapman, S. T.; Meyerson, W. A theorem on accepted elasticity in certain local arithmetical congruence monoids. (English) Zbl 1194.20057 Abh. Math. Semin. Univ. Hamb. 79, No. 1, 79-86 (2009). Reviewer: Władysław Narkiewicz (Wrocław) MSC: 20M14 13F05 11A51 20D60 PDF BibTeX XML Cite \textit{M. Banister} et al., Abh. Math. Semin. Univ. Hamb. 79, No. 1, 79--86 (2009; Zbl 1194.20057) Full Text: DOI OpenURL
Schmid, Wolfgang A. Arithmetical characterization of class groups of the form \(\mathbb Z/n\mathbb Z\oplus\mathbb Z/n\mathbb Z\) via the system of sets of lengths. (English) Zbl 1191.20069 Abh. Math. Semin. Univ. Hamb. 79, No. 1, 25-35 (2009). Reviewer: Władysław Narkiewicz (Wrocław) MSC: 20M13 11R27 13C20 20K01 PDF BibTeX XML Cite \textit{W. A. Schmid}, Abh. Math. Semin. Univ. Hamb. 79, No. 1, 25--35 (2009; Zbl 1191.20069) Full Text: DOI OpenURL
Gao, Weidong; Geroldinger, Alfred On products of \(k\) atoms. (English) Zbl 1184.20051 Monatsh. Math. 156, No. 2, 141-157 (2009). Reviewer: Władysław Narkiewicz (Wrocław) MSC: 20M14 13F15 11R27 13A05 13F05 PDF BibTeX XML Cite \textit{W. Gao} and \textit{A. Geroldinger}, Monatsh. Math. 156, No. 2, 141--157 (2009; Zbl 1184.20051) Full Text: DOI OpenURL
Geroldinger, Alfred; Grynkiewicz, David J. On the arithmetic of Krull monoids with finite Davenport constant. (English) Zbl 1196.20066 J. Algebra 321, No. 4, 1256-1284 (2009). Reviewer: Władysław Narkiewicz (Wrocław) MSC: 20M13 13F15 13F05 20M14 11R27 PDF BibTeX XML Cite \textit{A. Geroldinger} and \textit{D. J. Grynkiewicz}, J. Algebra 321, No. 4, 1256--1284 (2009; Zbl 1196.20066) 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
García-Sánchez, P. A.; Llena, D.; Rosales, J. C. Strongly taut finitely generated monoids. (English) Zbl 1152.20049 Monatsh. Math. 155, No. 2, 119-124 (2008). MSC: 20M14 20M05 13A05 PDF BibTeX XML Cite \textit{P. A. García-Sánchez} et al., Monatsh. Math. 155, No. 2, 119--124 (2008; Zbl 1152.20049) Full Text: DOI OpenURL
Baginski, Paul; Chapman, Scott Thomas; Hine, Natalie; Paixão, João On the asymptotic behavior of unions of sets of lengths in atomic monoids. (English) Zbl 1154.20049 Involve 1, No. 1, 101-110 (2008). Reviewer: Franz Halter-Koch (Graz) MSC: 20M14 11B75 13F05 20M05 20D60 PDF BibTeX XML Cite \textit{P. Baginski} et al., Involve 1, No. 1, 101--110 (2008; Zbl 1154.20049) Full Text: DOI OpenURL
Chapman, S. T.; Schmid, W. A.; Smith, W. W. On minimal distances in Krull monoids with infinite class group. (English) Zbl 1198.20049 Bull. Lond. Math. Soc. 40, No. 4, 613-618 (2008). MSC: 20M14 13F05 11R27 PDF BibTeX XML Cite \textit{S. T. Chapman} et al., Bull. Lond. Math. Soc. 40, No. 4, 613--618 (2008; Zbl 1198.20049) Full Text: DOI OpenURL
Amos, Jeff; Chapman, S. T.; Hine, Natalie; Paixão, João Sets of lengths do not characterize numerical monoids. (English) Zbl 1139.20056 Integers 7, No. 1, Paper A50, 8 p. (2007). Reviewer: Władysław Narkiewicz (Wrocław) MSC: 20M14 20M05 11B25 PDF BibTeX XML Cite \textit{J. Amos} et al., Integers 7, No. 1, Paper A50, 8 p. (2007; Zbl 1139.20056) Full Text: EuDML OpenURL
Banister, M.; Chaika, J.; Chapman, S. T.; Meyerson, W. On a result of James and Niven concerning unique factorization in congruence semigroups. (English) Zbl 1136.20044 Elem. Math. 62, No. 2, 68-72 (2007). Reviewer: Robert F. Tichy (Graz) MSC: 20M14 11A51 PDF BibTeX XML Cite \textit{M. Banister} et al., Elem. Math. 62, No. 2, 68--72 (2007; Zbl 1136.20044) 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
Radziejewski, Maciej; Schmid, Wolfgang A. Weakly half-factorial sets in finite Abelian groups. (English) Zbl 1144.20033 Forum Math. 19, No. 4, 727-747 (2007). Reviewer: Franz Halter-Koch (Graz) MSC: 20K01 11R27 20M14 11B83 05A15 13F05 13A05 PDF BibTeX XML Cite \textit{M. Radziejewski} and \textit{W. A. Schmid}, Forum Math. 19, No. 4, 727--747 (2007; Zbl 1144.20033) 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
Chapman, S. T.; Holden, M. T.; Moore, T. A. Full elasticity in atomic monoids and integral domains. (English) Zbl 1152.20048 Rocky Mt. J. Math. 36, No. 5, 1437-1455 (2006). Reviewer: Franz Halter-Koch (Graz) MSC: 20M14 11B75 13F05 20D60 PDF BibTeX XML Cite \textit{S. T. Chapman} et al., Rocky Mt. J. Math. 36, No. 5, 1437--1455 (2006; Zbl 1152.20048) Full Text: DOI Euclid 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
Schmid, Wolfgang A. Half-factorial sets in elementary \(p\)-groups. (English) Zbl 1120.20055 Far East J. Math. Sci. (FJMS) 22, No. 1, 75-114 (2006). Reviewer: Władysław Narkiewicz (Wrocław) MSC: 20K01 11R27 13F05 20D60 20M14 PDF BibTeX XML Cite \textit{W. A. Schmid}, Far East J. Math. Sci. (FJMS) 22, No. 1, 75--114 (2006; Zbl 1120.20055) OpenURL
Baginski, Paul; Chapman, Scott T.; Holden, Matthew T.; Moore, Terri A. Asymptotic elasticity in atomic monoids. (English) Zbl 1099.20033 Semigroup Forum 72, No. 1, 134-142 (2006). Reviewer: David F. Anderson (Knoxville) MSC: 20M14 20M25 13A05 13F05 20M05 PDF BibTeX XML Cite \textit{P. Baginski} et al., Semigroup Forum 72, No. 1, 134--142 (2006; Zbl 1099.20033) Full Text: DOI OpenURL
Foroutan, Andreas; Hassler, Wolfgang Chains of factorizations and factorizations with successive lengths. (English) Zbl 1087.11067 Commun. Algebra 34, No. 3, 939-972 (2006). Reviewer: Franz Halter-Koch (Graz) MSC: 11R27 13A05 13G05 20M14 PDF BibTeX XML Cite \textit{A. Foroutan} and \textit{W. Hassler}, Commun. Algebra 34, No. 3, 939--972 (2006; Zbl 1087.11067) Full Text: DOI OpenURL
Schmid, Wolfgang A. Differences in sets of lengths of Krull monoids with finite class group. (English) Zbl 1090.20034 J. Théor. Nombres Bordx. 17, No. 1, 323-345 (2005). Reviewer: Władysław Narkiewicz (Wrocław) MSC: 20M14 11R27 13F05 20K01 PDF BibTeX XML Cite \textit{W. A. Schmid}, J. Théor. Nombres Bordx. 17, No. 1, 323--345 (2005; Zbl 1090.20034) Full Text: DOI Numdam EuDML Link 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
Radziejewski, Maciej; Schmid, Wolfgang A. On the asymptotic behavior of some counting functions. (English) Zbl 1143.11346 Colloq. Math. 102, No. 2, 181-195 (2005). MSC: 11N64 05A15 11R27 11R47 20K01 PDF BibTeX XML Cite \textit{M. Radziejewski} and \textit{W. A. Schmid}, Colloq. Math. 102, No. 2, 181--195 (2005; Zbl 1143.11346) Full Text: DOI OpenURL
Radziejewski, Maciej On the distribution of algebraic numbers with prescribed factorization properties. (English) Zbl 1136.11064 Acta Arith. 116, No. 2, 153-171 (2005). MSC: 11N37 11N45 11R27 11R42 PDF BibTeX XML Cite \textit{M. Radziejewski}, Acta Arith. 116, No. 2, 153--171 (2005; Zbl 1136.11064) Full Text: DOI OpenURL
Radziejewski, Maciej Oscillations of error terms associated with certain arithmetical functions. (English) Zbl 1099.11056 Monatsh. Math. 144, No. 2, 113-130 (2005). Reviewer: Ekkehard Krätzel (Jena) MSC: 11N64 11N37 PDF BibTeX XML Cite \textit{M. Radziejewski}, Monatsh. Math. 144, No. 2, 113--130 (2005; Zbl 1099.11056) Full Text: DOI OpenURL
Hassler, Wolfgang Factorization in finitely generated domains. (English) Zbl 1061.13002 J. Pure Appl. Algebra 186, No. 2, 151-168 (2004). Reviewer: M. E. Keating (London) MSC: 13A05 13G05 13F15 20M14 PDF BibTeX XML Cite \textit{W. Hassler}, J. Pure Appl. Algebra 186, No. 2, 151--168 (2004; Zbl 1061.13002) Full Text: DOI 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
Geroldinger, Alfred; Halter-Koch, Franz Tamely generated ideals in finitary monoids. (English) Zbl 1066.20059 JP J. Algebra Number Theory Appl. 2, No. 3, 205-239 (2002). Reviewer: David F. Anderson (Knoxville) MSC: 20M12 20M14 11R27 PDF BibTeX XML Cite \textit{A. Geroldinger} and \textit{F. Halter-Koch}, JP J. Algebra Number Theory Appl. 2, No. 3, 205--239 (2002; Zbl 1066.20059) OpenURL
Freiman, Gregory; Geroldinger, Alfred An addition theorem and its arithmetical application. (English) Zbl 1019.11002 J. Number Theory 85, No. 1, 59-73 (2000). Reviewer: F.Halter-Koch (Graz) MSC: 11B13 11B25 11R27 PDF BibTeX XML Cite \textit{G. Freiman} and \textit{A. Geroldinger}, J. Number Theory 85, No. 1, 59--73 (2000; Zbl 1019.11002) Full Text: DOI OpenURL
Yang, Xiuliang Products of idempotents of defect 1 in certain semigroups of transformations. (English) Zbl 0929.20042 Commun. Algebra 27, No. 7, 3557-3568 (1999). Reviewer: P.M.Higgins (Colchester) MSC: 20M20 PDF BibTeX XML Cite \textit{X. Yang}, Commun. Algebra 27, No. 7, 3557--3568 (1999; Zbl 0929.20042) Full Text: DOI OpenURL
Geetha, K. The semigroup of singular endomorphisms. (English) Zbl 0920.20055 Semigroup Forum 58, No. 2, 207-221 (1999). Reviewer: P.M.Higgins (Colchester) MSC: 20M20 20M05 PDF BibTeX XML Cite \textit{K. Geetha}, Semigroup Forum 58, No. 2, 207--221 (1999; Zbl 0920.20055) Full Text: DOI OpenURL
Anderson, David F.; Park, Jeanam; Kim, Gi-Ik; Oh, Heung-Joon Splitting multiplicative sets and elasticity. (English) Zbl 0932.13012 Commun. Algebra 26, No. 4, 1257-1276 (1998). Reviewer: M.E.Keating (London) MSC: 13F15 13G05 13F05 PDF BibTeX XML Cite \textit{D. F. Anderson} et al., Commun. Algebra 26, No. 4, 1257--1276 (1998; Zbl 0932.13012) Full Text: DOI OpenURL
Chapman, Scott T.; Smith, William W. Generalized sets of lengths. (English) Zbl 0929.13010 J. Algebra 200, No. 2, 449-471 (1998). Reviewer: David F.Anderson (Knoxville) MSC: 13F15 13F05 13G05 13A05 20M05 PDF BibTeX XML Cite \textit{S. T. Chapman} and \textit{W. W. Smith}, J. Algebra 200, No. 2, 449--471 (1998; Zbl 0929.13010) Full Text: DOI OpenURL
Anderson, David F.; Scherpenisse, Carla Factorization in \(K[S]\). (English) Zbl 0870.20048 Cahen, Paul-Jean (ed.) et al., Commutative ring theory. Proceedings of the 2nd international conference, Fès, Morocco, June 5–10, 1995. New York, NY: Marcel Dekker. Lect. Notes Pure Appl. Math. 185, 45-56 (1997). Reviewer: C.Galindo (Castellon) MSC: 20M25 13F15 20M14 PDF BibTeX XML Cite \textit{D. F. Anderson} and \textit{C. Scherpenisse}, Lect. Notes Pure Appl. Math. 185, 45--56 (1997; Zbl 0870.20048) OpenURL
Anderson, David F.; Winner, Janice Factorization in \(K[[S]]\). (English) Zbl 0898.13015 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, 243-255 (1997). Reviewer: C.Galindo (Castellon) MSC: 13F15 13F25 20M25 13A05 13G05 11R27 PDF BibTeX XML Cite \textit{D. F. Anderson} and \textit{J. Winner}, Lect. Notes Pure Appl. Math. 189, 243--255 (1997; Zbl 0898.13015) OpenURL
Geroldinger, Alfred Chains of factorizations and sets of lengths. (English) Zbl 0882.20039 J. Algebra 188, No. 1, 331-362 (1997). Reviewer: D.F.Anderson (Knoxville) MSC: 20M14 13G05 13F99 11R27 PDF BibTeX XML Cite \textit{A. Geroldinger}, J. Algebra 188, No. 1, 331--362 (1997; Zbl 0882.20039) Full Text: DOI OpenURL
Geroldinger, Alfred \(T\)-block monoids and their arithmetical applications to certain integral domains. (English) Zbl 0809.13013 Commun. Algebra 22, No. 5, 1603-1615 (1994). Reviewer: M.Ştefănescu (Constanţa) MSC: 13F05 20M25 13F15 14C22 PDF BibTeX XML Cite \textit{A. Geroldinger}, Commun. Algebra 22, No. 5, 1603--1615 (1994; Zbl 0809.13013) Full Text: DOI OpenURL
Anderson, David F.; Chapman, Scott; Inman, Faith; Smith, W. W. Factorization in \(K[X^ 2,X^ 3]\). (English) Zbl 0784.13010 Arch. Math. 61, No. 6, 521-528 (1993). Reviewer: D.F.Anderson (Knoxville) MSC: 13F15 13G05 13F20 13A05 PDF BibTeX XML Cite \textit{D. F. Anderson} et al., Arch. Math. 61, No. 6, 521--528 (1994; Zbl 0784.13010) Full Text: DOI OpenURL
Chapman, Scott T.; Smith, William W. An analysis using the Zaks-Skula constant of element factorizations in Dedekind domains. (English) Zbl 0784.11050 J. Algebra 159, No. 1, 176-190 (1993). Reviewer: W.Narkiewicz (Wrocław) MSC: 11R27 13F05 20D06 PDF BibTeX XML Cite \textit{S. T. Chapman} and \textit{W. W. Smith}, J. Algebra 159, No. 1, 176--190 (1993; Zbl 0784.11050) Full Text: DOI OpenURL
Chapman, Scott T.; Smith, William W. On the lengths of factorizations of elements in an algebraic number ring. (English) Zbl 0765.11043 J. Number Theory 43, No. 1, 24-30 (1993). Reviewer: W.Narkiewicz (Wrocław) MSC: 11R27 13F05 PDF BibTeX XML Cite \textit{S. T. Chapman} and \textit{W. W. Smith}, J. Number Theory 43, No. 1, 24--30 (1993; Zbl 0765.11043) Full Text: DOI OpenURL
Geroldinger, Alfred; Halter-Koch, Franz On the asymptotic behaviour of lengths of factorizations. (English) Zbl 0751.20044 J. Pure Appl. Algebra 77, No. 3, 239-252 (1992). Reviewer: J.Kaczorowski (Poznań) MSC: 20M14 20M25 11R27 20M05 13A05 13G05 PDF BibTeX XML Cite \textit{A. Geroldinger} and \textit{F. Halter-Koch}, J. Pure Appl. Algebra 77, No. 3, 239--252 (1992; Zbl 0751.20044) Full Text: DOI OpenURL
Halter-Koch, Franz Relative block semigroups and their arithmetical applications. (English) Zbl 0769.11038 Commentat. Math. Univ. Carol. 33, No. 3, 373-381 (1992). Reviewer: J.Kaczorowski (Poznań) MSC: 11R27 11R47 20M14 PDF BibTeX XML Cite \textit{F. Halter-Koch}, Commentat. Math. Univ. Carol. 33, No. 3, 373--381 (1992; Zbl 0769.11038) Full Text: EuDML OpenURL