Geroldinger, A.; Halter-Koch, F.; Zhong, Q. On monoids of weighted zero-sum sequences and applications to norm monoids in Galois number fields and binary quadratic forms. (English) Zbl 1524.20058 Acta Math. Hung. 168, No. 1, 144-185 (2022). Reviewer: Grigori I. Zhitomirski (Herzliyya) MSC: 20M13 11B50 11B75 11E12 11R27 20M14 PDFBibTeX XMLCite \textit{A. Geroldinger} et al., Acta Math. Hung. 168, No. 1, 144--185 (2022; Zbl 1524.20058) Full Text: DOI arXiv
Chang, Gyu Whan; Fadinger, Victor; Windisch, Daniel Semigroup rings as weakly Krull domains. (English) Zbl 1505.13026 Pac. J. Math. 318, No. 2, 433-452 (2022). Reviewer: Francesco Strazzanti (Genova) MSC: 13F05 13A15 20M12 20M25 PDFBibTeX XMLCite \textit{G. W. Chang} et al., Pac. J. Math. 318, No. 2, 433--452 (2022; Zbl 1505.13026) Full Text: DOI arXiv
Bashir, Aqsa; Reinhart, Andreas On transfer Krull monoids. (English) Zbl 1510.20050 Semigroup Forum 105, No. 1, 73-95 (2022). Reviewer: Moshe Roitman (Haifa) MSC: 20M13 20M14 13A05 13A15 PDFBibTeX XMLCite \textit{A. Bashir} and \textit{A. Reinhart}, Semigroup Forum 105, No. 1, 73--95 (2022; Zbl 1510.20050) Full Text: DOI arXiv
Fadinger, Victor; Windisch, Daniel A characterization of weakly Krull monoid algebras. (English) Zbl 1474.13013 J. Algebra 590, 277-292 (2022). Reviewer: Peeter Normak (Tallinn) MSC: 13A99 13F05 20M14 20M25 PDFBibTeX XMLCite \textit{V. Fadinger} and \textit{D. Windisch}, J. Algebra 590, 277--292 (2022; Zbl 1474.13013) Full Text: DOI arXiv
Geroldinger, Alfred; Kainrath, Florian On transfer homomorphisms of Krull monoids. (English) Zbl 1511.20215 Boll. Unione Mat. Ital. 14, No. 4, 629-646 (2021). MSC: 20M13 13A15 13F05 16D70 20M14 PDFBibTeX XMLCite \textit{A. Geroldinger} and \textit{F. Kainrath}, Boll. Unione Mat. Ital. 14, No. 4, 629--646 (2021; Zbl 1511.20215) Full Text: DOI arXiv
Gotti, Felix Geometric and combinatorial aspects of submonoids of a finite-rank free commutative monoid. (English) Zbl 1458.20050 Linear Algebra Appl. 604, 146-186 (2020). Reviewer: Günter Lettl (Graz) MSC: 20M14 20M13 52A20 PDFBibTeX XMLCite \textit{F. Gotti}, Linear Algebra Appl. 604, 146--186 (2020; Zbl 1458.20050) Full Text: DOI arXiv
Angermüller, Gerhard Strong atoms in Krull monoids. (English) Zbl 1508.20091 Semigroup Forum 101, No. 1, 11-18 (2020). MSC: 20M14 13A05 13F15 13G05 PDFBibTeX XMLCite \textit{G. Angermüller}, Semigroup Forum 101, No. 1, 11--18 (2020; Zbl 1508.20091) Full Text: DOI
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 PDFBibTeX XMLCite \textit{A. Geroldinger} and \textit{Q. Zhong}, Semigroup Forum 100, No. 1, 22--51 (2020; Zbl 1442.20037) Full Text: DOI arXiv
Geroldinger, Alfred; Reinhart, Andreas The monotone catenary degree of monoids of ideals. (English) Zbl 1419.13005 Int. J. Algebra Comput. 29, No. 3, 419-457 (2019). Reviewer: Qinghai Zhong (Graz) MSC: 13A15 13F15 20M12 20M13 PDFBibTeX XMLCite \textit{A. Geroldinger} and \textit{A. Reinhart}, Int. J. Algebra Comput. 29, No. 3, 419--457 (2019; Zbl 1419.13005) Full Text: DOI arXiv
Geroldinger, Alfred; Zhong, Qinghai Long sets of lengths with maximal elasticity. (English) Zbl 1474.13004 Can. J. Math. 70, No. 6, 1284-1318 (2018). MSC: 20M13 13A05 13F05 16H10 16U30 PDFBibTeX XMLCite \textit{A. Geroldinger} and \textit{Q. Zhong}, Can. J. Math. 70, No. 6, 1284--1318 (2018; Zbl 1474.13004) Full Text: arXiv Link
Geroldinger, Alfred; Zhong, Qinghai The set of distances in seminormal weakly Krull monoids. (English) Zbl 1419.11120 J. Pure Appl. Algebra 220, No. 11, 3713-3732 (2016). Reviewer: Qinghai Zhong (Graz) MSC: 11R27 13A05 13F15 13F45 20M13 PDFBibTeX XMLCite \textit{A. Geroldinger} and \textit{Q. Zhong}, J. Pure Appl. Algebra 220, No. 11, 3713--3732 (2016; Zbl 1419.11120) Full Text: DOI arXiv
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 PDFBibTeX XMLCite \textit{A. Geroldinger} et al., J. Algebra 444, 201--245 (2015; Zbl 1327.13006) Full Text: DOI arXiv
Maney, Jack; Ponomarenko, Vadim Diversity in monoids. (English) Zbl 1265.20060 Czech. Math. J. 62, No. 3, 795-809 (2012). MSC: 20M14 20M05 11B75 13A05 11N80 PDFBibTeX XMLCite \textit{J. Maney} and \textit{V. Ponomarenko}, Czech. Math. J. 62, No. 3, 795--809 (2012; Zbl 1265.20060) Full Text: DOI Link
Picavet, Gabriel; Picavet-L’Hermitte, Martine When is length a length function? (English) Zbl 1092.13028 J. Algebra 293, No. 2, 561-594 (2005). Reviewer: M. E. Keating (London) MSC: 13G05 13C15 13F05 15A15 PDFBibTeX XMLCite \textit{G. Picavet} and \textit{M. Picavet-L'Hermitte}, J. Algebra 293, No. 2, 561--594 (2005; Zbl 1092.13028) Full Text: DOI
Chapman, Scott T.; Halter-Koch, Franz; Krause, Ulrich Inside factorial monoids and integral domains. (English) Zbl 1087.13510 J. Algebra 252, No. 2, 350-375 (2002). MSC: 13F15 20M14 13G05 11R65 13A05 11R54 PDFBibTeX XMLCite \textit{S. T. Chapman} et al., J. Algebra 252, No. 2, 350--375 (2002; Zbl 1087.13510) Full Text: DOI
Rosales, J. C.; García-García, J. I. Primary ideals of finitely generated commutative cancellative monoids. (English) Zbl 1001.20051 Linear Algebra Appl. 336, No. 1-3, 219-230 (2001). Reviewer: Takayuki Tamura (Davis) MSC: 20M12 20M14 20M05 68W30 PDFBibTeX XMLCite \textit{J. C. Rosales} and \textit{J. I. García-García}, Linear Algebra Appl. 336, No. 1--3, 219--230 (2001; Zbl 1001.20051) Full Text: DOI
Anderson, D. D.; Chapman, Scott T.; Halter-Koch, Franz; Zafrullah, Muhammad Criteria for unique factorization in integral domains. (English) Zbl 0949.13015 J. Pure Appl. Algebra 127, No. 3, 205-218 (1998). Reviewer: E.Stagnaro (Padova) MSC: 13F15 13A05 13G05 PDFBibTeX XMLCite \textit{D. D. Anderson} et al., J. Pure Appl. Algebra 127, No. 3, 205--218 (1998; Zbl 0949.13015) Full Text: DOI
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 PDFBibTeX XMLCite \textit{A. Geroldinger}, J. Algebra 188, No. 1, 331--362 (1997; Zbl 0882.20039) Full Text: DOI
Geroldinger, A. On the structure and arithmetic of finitely primary monoids. (English) Zbl 0879.20032 Czech. Math. J. 46, No. 4, 677-695 (1996). Reviewer: J.Rachůnek (Olomouc) MSC: 20M14 20M25 13G05 13B22 PDFBibTeX XMLCite \textit{A. Geroldinger}, Czech. Math. J. 46, No. 4, 677--695 (1996; Zbl 0879.20032) Full Text: EuDML
Halter-Koch, Franz Elasticity of factorizations in atomic monoids and integral domains. (English) Zbl 0844.11068 J. Théor. Nombres Bordx. 7, No. 2, 367-385 (1995). Reviewer: W.Narkiewicz (Wrocław) MSC: 11R27 13G05 13E05 PDFBibTeX XMLCite \textit{F. Halter-Koch}, J. Théor. Nombres Bordx. 7, No. 2, 367--385 (1995; Zbl 0844.11068) Full Text: DOI Numdam EuDML EMIS
Geroldinger, Alfred; Močkoř, Jiří Quasi-divisor theories and generalizations of Krull domains. (English) Zbl 0853.13012 J. Pure Appl. Algebra 102, No. 3, 289-311 (1995). MSC: 13F05 13A18 20M14 PDFBibTeX XMLCite \textit{A. Geroldinger} and \textit{J. Močkoř}, J. Pure Appl. Algebra 102, No. 3, 289--311 (1995; Zbl 0853.13012) Full Text: DOI