Geroldinger, Alfred Sets of lengths. (English) Zbl 1391.13004 Am. Math. Mon. 123, No. 10, 960-988 (2016). MSC: 13A05 20M13 11B39 11R37 PDFBibTeX XMLCite \textit{A. Geroldinger}, Am. Math. Mon. 123, No. 10, 960--988 (2016; Zbl 1391.13004) Full Text: DOI arXiv
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 PDFBibTeX XMLCite \textit{A. Geroldinger}, Osaka J. Math. 50, No. 2, 503--539 (2013; Zbl 1279.20073) Full Text: arXiv Euclid
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 PDFBibTeX XMLCite \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)
Geroldinger, Alfred Cross numbers and splittable sets. (English) Zbl 1109.20302 Sali, A. (ed.) et al., Paul Erdős and his mathematics. Papers from the international conference held in memory of Paul Erdős in Budapest, Hungary, July 4–11, 1999. Budapest: János Bolyai Mathematical Society (ISBN 963-8022-93-0). 79-80 (1999). MSC: 20D60 20K01 PDFBibTeX XMLCite \textit{A. Geroldinger}, in: Paul Erdős and his mathematics. Papers from the international conference held in memory of Paul Erdős in Budapest, Hungary, July 4--11, 1999. Budapest: János Bolyai Mathematical Society. 79--80 (1999; Zbl 1109.20302)
Geroldinger, Alfred A structure theorem for sets of lengths. (English) Zbl 0926.11082 Colloq. Math. 78, No. 2, 225-259 (1998). Reviewer: W.Narkiewicz (Wrocław) MSC: 11R27 20N02 13F05 PDFBibTeX XMLCite \textit{A. Geroldinger}, Colloq. Math. 78, No. 2, 225--259 (1998; Zbl 0926.11082) Full Text: DOI EuDML Link
Geroldinger, Alfred Chains of factorizations in orders of global fields. (English) Zbl 0874.11073 Colloq. Math. 72, No. 1, 83-102 (1997). Reviewer: J.Kaczorowski (Poznań) MSC: 11R27 20M14 13A05 PDFBibTeX XMLCite \textit{A. Geroldinger}, Colloq. Math. 72, No. 1, 83--102 (1997; Zbl 0874.11073) Full Text: DOI EuDML
Geroldinger, Alfred Chains of factorizations in weakly Krull domains. (English) Zbl 0874.13001 Colloq. Math. 72, No. 1, 53-81 (1997). Reviewer: J.Kaczorowski (Poznań) MSC: 13A05 13F05 13E05 PDFBibTeX XMLCite \textit{A. Geroldinger}, Colloq. Math. 72, No. 1, 53--81 (1997; Zbl 0874.13001) Full Text: DOI EuDML
Geroldinger, Alfred The catenary degree and tameness of factorizations in weakly Krull domains. (English) Zbl 0897.13002 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, 113-153 (1997). Reviewer: Š.Porubský (Praha) MSC: 13A05 13G05 13F15 PDFBibTeX XMLCite \textit{A. Geroldinger}, Lect. Notes Pure Appl. Math. 189, 113--153 (1997; Zbl 0897.13002)
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
Geroldinger, Alfred The cross number of finite Abelian groups. (English) Zbl 0814.20033 J. Number Theory 48, No. 2, 219-223 (1994). Reviewer: Ren Yongcai (Chengdu) MSC: 20K01 20D60 PDFBibTeX XMLCite \textit{A. Geroldinger}, J. Number Theory 48, No. 2, 219--223 (1994; Zbl 0814.20033) Full Text: DOI
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 PDFBibTeX XMLCite \textit{A. Geroldinger}, Commun. Algebra 22, No. 5, 1603--1615 (1994; Zbl 0809.13013) Full Text: DOI
Geroldinger, Alfred The complete integral closure of monoids and domains. (English) Zbl 0805.20055 PU.M.A., Pure Math. Appl. 4, No. 2, 147-165 (1993). Reviewer: D.F.Anderson (Knoxville) MSC: 20M14 13G05 13B22 PDFBibTeX XMLCite \textit{A. Geroldinger}, PU.M.A., Pure Math. Appl. 4, No. 2, 147--165 (1993; Zbl 0805.20055)
Geroldinger, Alfred On a conjecture of Kleitman and Lemke. (English) Zbl 0781.20017 J. Number Theory 44, No. 1, 60-65 (1993). Reviewer: W.Narkiewicz (Wrocław) MSC: 20D60 20K01 11B30 PDFBibTeX XMLCite \textit{A. Geroldinger}, J. Number Theory 44, No. 1, 60--65 (1993; Zbl 0781.20017) Full Text: DOI
Geroldinger, A. Arithmetical characterizations of divisor class groups. II. (English) Zbl 0830.20084 Acta Math. Univ. Comen., New Ser. 61, No. 2, 193-208 (1992). Reviewer: W.Narkiewicz (Wrocław) MSC: 20M14 11R29 11R27 11R04 PDFBibTeX XMLCite \textit{A. Geroldinger}, Acta Math. Univ. Comen., New Ser. 61, No. 2, 193--208 (1992; Zbl 0830.20084) Full Text: EuDML EMIS
Geroldinger, A. Factorization of natural numbers in algebraic number fields. (English) Zbl 0729.11054 Acta Arith. 57, No. 4, 365-373 (1991). Reviewer: J.Kaczorowski (Poznań) MSC: 11R27 PDFBibTeX XMLCite \textit{A. Geroldinger}, Acta Arith. 57, No. 4, 365--373 (1991; Zbl 0729.11054) Full Text: DOI
Geroldinger, Alfred On the arithmetic of certain not integrally closed noetherian integral domains. (English) Zbl 0723.20038 Commun. Algebra 19, No. 2, 685-698 (1991). Reviewer: D.F.Anderson (Knoxville) MSC: 20M14 13A05 13G05 20M25 PDFBibTeX XMLCite \textit{A. Geroldinger}, Commun. Algebra 19, No. 2, 685--698 (1991; Zbl 0723.20038) Full Text: DOI
Geroldinger, A. Systems of sets of lengths. (Systeme von Längenmengen.) (German) Zbl 0721.11042 Abh. Math. Semin. Univ. Hamb. 60, 115-130 (1990). Reviewer: Jerzy Kaczorowski (Poznań) MSC: 11R27 11R29 20M14 PDFBibTeX XMLCite \textit{A. Geroldinger}, Abh. Math. Semin. Univ. Hamb. 60, 115--130 (1990; Zbl 0721.11042) Full Text: DOI
Geroldinger, Alfred A quantitative result on factorizations of different length in algebraic number fields. (Ein quantitatives Resultat über Faktorisierungen verschiedener Länge in algebraischen Zahlkörpern.) (German) Zbl 0721.11041 Math. Z. 205, No. 1, 159-162 (1990). Reviewer: Jerzy Kaczorowski (Poznań) MSC: 11R27 11N45 PDFBibTeX XMLCite \textit{A. Geroldinger}, Math. Z. 205, No. 1, 159--162 (1990; Zbl 0721.11041) Full Text: DOI EuDML
Geroldinger, Alfred Arithmetical characterizations of divisor class groups. (English) Zbl 0703.20059 Arch. Math. 54, No. 5, 455-464 (1990). Reviewer: W.Narkiewicz MSC: 20M14 11R27 PDFBibTeX XMLCite \textit{A. Geroldinger}, Arch. Math. 54, No. 5, 455--464 (1990; Zbl 0703.20059) Full Text: DOI
Geroldinger, A. On non-unique factorization into irreducible elements. II. (English) Zbl 0703.11057 Number theory. Vol. II. Diophantine and algebraic, Proc. Conf., Budapest/Hung. 1987, Colloq. Math. Soc. János Bolyai 51, 723-757 (1990). Reviewer: A.Geroldinger MSC: 11R27 13F05 11J70 PDFBibTeX XML
Geroldinger, Alfred Factorizations of algebraic integers. (English) Zbl 0684.12007 Number theory, Proc. 15th Journ. Arith., Ulm/FRG 1987, Lect. Notes Math. 1380, 63-74 (1989). Reviewer: Tauno Metsänkylä (Turku) MSC: 11R27 11R04 PDFBibTeX XML
Geroldinger, Alfred On non-unique factorizations into irreducible elements. (Über nicht-eindeutige Zerlegungen in irreduzible Elemente.) (German) Zbl 0618.12002 Math. Z. 197, No. 4, 505-529 (1988). Reviewer: A. Geroldinger MSC: 11R04 11R27 11R23 20K01 20D60 PDFBibTeX XMLCite \textit{A. Geroldinger}, Math. Z. 197, No. 4, 505--529 (1988; Zbl 0618.12002) Full Text: DOI EuDML
Geroldinger, Alfred On non-unique factorization into irreducible elements. (English) Zbl 0619.13009 Ber. Math.-Stat. Sekt. Forschungsges. Joanneum 276, 1-8 (1987). Reviewer: W.Narkiewicz MSC: 13F05 13A05 PDFBibTeX XML