Edit Profile (opens in new tab) Geroldinger, Alfred Compute Distance To: Compute Author ID: geroldinger.alfred Published as: Geroldinger, Alfred; Geroldinger, A. Homepage: http://imsc.uni-graz.at/geroldinger/ External Links: MGP · dblp · GND Documents Indexed: 125 Publications since 1987, including 3 Books 3 Contributions as Editor Co-Authors: 58 Co-Authors with 104 Joint Publications 1,286 Co-Co-Authors all top 5 Co-Authors 24 single-authored 19 Gao, Weidong 15 Halter-Koch, Franz 14 Zhong, Qinghai 13 Schmid, Wolfgang Alexander 11 Grynkiewicz, David J. 5 Kainrath, Florian 5 Reinhart, Andreas 4 Chapman, Scott Thomas 4 Hassler, Wolfgang 4 Schneider, Rudolf 3 Fontana, Marco 3 Freeze, Michael 3 Lettl, Günter Hermann Alexander 3 Olberding, Bruce M. 3 Yuan, Pingzhi 2 Baeth, Nicholas R. 2 Bashir, Aqsa 2 Blanco, Víctor 2 Elsholtz, Christian 2 Fan, Yushuang 2 Freiman, Gregory A. 2 García Sánchez, Pedro A. 2 Hamidoune, Yahya Ould 2 Kaczorowski, Jerzy 2 Philipp, Andreas 2 Tringali, Salvatore 1 Baginski, Paul 1 Brantner, Johannes 1 Burkard, Rainer E. 1 Chi, Rui 1 Cziszter, Kálmán 1 Ding, Shuyan 1 Domokos, Mátyás 1 Edel, Yves 1 Facchini, Alberto 1 Foroutan, Andreas 1 Göbel, Rüdiger 1 Gotti, Felix 1 Haase, Gundolf 1 Hegyvári, Norbert 1 Károlyi, Gyula 1 Khadam, Muhammad Azeem 1 Kubertin, Silke 1 Kunisch, Karl 1 Liebmann, Manfred 1 Močkoř, Jiří 1 Nathanson, Melvyn Bernard 1 Oh, Jun-Seok 1 Peichl, Gunther H. 1 Rackham, Laurence 1 Ramacher, Sebastian 1 Ring, Wolfgang 1 Roitman, Moshe 1 Ruzsa, Imre Z. 1 Schaeffer, George J. 1 Schwab, Emil Daniel 1 Smertnig, Daniel 1 Solymosi, József 1 Stadlober, Ernst 1 Stanchescu, Yonutz V. 1 Steinbach, Olaf 1 Wang, Qinghong 1 Woess, Wolfgang all top 5 Serials 8 Journal of Pure and Applied Algebra 6 Journal of Algebra 6 Semigroup Forum 5 Communications in Algebra 5 Acta Arithmetica 5 Journal of Number Theory 4 Colloquium Mathematicum 3 Periodica Mathematica Hungarica 3 European Journal of Combinatorics 3 Acta Mathematica Hungarica 3 Journal de Théorie des Nombres de Bordeaux 3 Journal of Algebra and its Applications 2 Houston Journal of Mathematics 2 Rocky Mountain Journal of Mathematics 2 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 2 Bulletin of the London Mathematical Society 2 Journal of the Korean Mathematical Society 2 Mathematische Zeitschrift 2 Monatshefte für Mathematik 2 Revista Matemática Iberoamericana 2 Springer Proceedings in Mathematics & Statistics 2 Bollettino dell’Unione Matematica Italiana 1 American Mathematical Monthly 1 Discrete Mathematics 1 Israel Journal of Mathematics 1 Arkiv för Matematik 1 Archiv der Mathematik 1 Ars Combinatoria 1 Canadian Journal of Mathematics 1 Czechoslovak Mathematical Journal 1 Functiones et Approximatio. Commentarii Mathematici 1 Illinois Journal of Mathematics 1 Journal of Combinatorial Theory. Series A 1 Journal für die Reine und Angewandte Mathematik 1 Mathematica Slovaca 1 Osaka Journal of Mathematics 1 Pacific Journal of Mathematics 1 Results in Mathematics 1 Rendiconti di Matematica e delle sue Applicazioni. Serie VII 1 Combinatorica 1 Internationale Mathematische Nachrichten 1 Forum Mathematicum 1 Séminaire de Théorie des Nombres de Bordeaux. Deuxième Série 1 International Journal of Algebra and Computation 1 Acta Mathematica Universitatis Comenianae. New Series 1 Expositiones Mathematicae 1 The Australasian Journal of Combinatorics 1 PU.M.A. Pure Mathematics and Applications 1 The New York Journal of Mathematics 1 The Quarterly Journal of Mathematics 1 Integers 1 Journal of the Australian Mathematical Society 1 JP Journal of Algebra, Number Theory and Applications 1 International Journal of Number Theory 1 Pure and Applied Mathematics (Boca Raton) 1 Journal of Combinatorics and Number Theory 1 Journal of Commutative Algebra 1 Moscow Journal of Combinatorics and Number Theory 1 Actes des Rencontres du C.I.R.M. 1 Advanced Courses in Mathematics – CRM Barcelona all top 5 Fields 106 Group theory and generalizations (20-XX) 80 Commutative algebra (13-XX) 76 Number theory (11-XX) 9 Associative rings and algebras (16-XX) 3 General and overarching topics; collections (00-XX) 2 History and biography (01-XX) 2 Combinatorics (05-XX) 1 Algebraic geometry (14-XX) 1 Geometry (51-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 120 Publications have been cited 2,186 times in 622 Documents Cited by ▼ Year ▼ Non-unique factorizations. Algebraic, combinatorial and analytic theory. Zbl 1113.11002Geroldinger, Alfred; Halter-Koch, Franz 305 2006 Zero-sum problems in finite Abelian groups: a survey. Zbl 1122.11013Gao, Weidong; Geroldinger, Alfred 177 2006 Additive group theory and non-unique factorizations. Zbl 1221.20045Geroldinger, Alfred 93 2009 Non-unique factorizations: a survey. Zbl 1117.13004Geroldinger, Alfred; Halter-Koch, Franz 63 2006 Sets of lengths. Zbl 1391.13004Geroldinger, Alfred 48 2016 Zero-sum problems in finite abelian groups and affine caps. Zbl 1205.11028Edel, Yves; Elsholtz, Christian; Geroldinger, Alfred; Kubertin, Silke; Rackham, Laurence 46 2007 Combinatorial number theory and additive group theory. With a foreword by Javier Cilleruelo, Marc Noy and Oriol Serra (Coordinators of the DocCourse). Zbl 1177.11005Geroldinger, Alfred; Ruzsa, Imre Z. 45 2009 On Davenport’s constant. Zbl 0759.20008Geroldinger, Alfred; Schneider, Rudolf 44 1992 On non-unique factorizations into irreducible elements. (Über nicht-eindeutige Zerlegungen in irreduzible Elemente.) Zbl 0618.12002Geroldinger, Alfred 43 1988 Local tameness of \(v\)-Noetherian monoids. Zbl 1133.20047Geroldinger, Alfred; Hassler, Wolfgang 42 2008 On products of \(k\) atoms. Zbl 1184.20051Gao, Weidong; Geroldinger, Alfred 35 2009 The large Davenport constant. I: Groups with a cyclic, index 2 subgroup. Zbl 1276.20027Geroldinger, Alfred; Grynkiewicz, David J. 34 2013 On long minimal zero sequences in finite abelian groups. Zbl 0980.11014Gao, Weidong; Geroldinger, Alfred 34 1999 Krull domains and monoids, their sets of lengths, and associated combinatorial problems. Zbl 0897.13001Chapman, Scott; Geroldinger, Alfred 33 1997 Monoids of modules and arithmetic of direct-sum decompositions. Zbl 1347.16006Baeth, Nicholas R.; Geroldinger, Alfred 31 2014 Inverse zero-sum problems. III. Zbl 1213.11178Gao, Weidong; Geroldinger, Alfred; Grynkiewicz, David J. 30 2010 Arithmetic of seminormal weakly Krull monoids and domains. Zbl 1327.13006Geroldinger, Alfred; Kainrath, Florian; Reinhart, Andreas 29 2015 The interplay of invariant theory with multiplicative ideal theory and with arithmetic combinatorics. Zbl 1349.13014Cziszter, Kálmán; Domokos, Mátyás; Geroldinger, Alfred 28 2016 Arithmetic of commutative semigroups with a focus on semigroups of ideals and modules. Zbl 1441.20041Fan, Yushuang; Geroldinger, Alfred; Kainrath, Florian; Tringali, Salvatore 25 2017 On the arithmetic of tame monoids with applications to Krull monoids and Mori domains. Zbl 1207.20055Geroldinger, Alfred; Kainrath, Florian 25 2010 Factorization theory in commutative monoids. Zbl 1442.20037Geroldinger, Alfred; Zhong, Qinghai 24 2020 On the arithmetic of Krull monoids with infinite cyclic class group. Zbl 1208.13003Geroldinger, A.; Grynkiewicz, D. J.; Schaeffer, G. J.; Schmid, W. A. 24 2010 Arithmetic of Mori domains and monoids. Zbl 1195.13022Geroldinger, Alfred; Hassler, Wolfgang 23 2008 The catenary degree of Krull monoids. I. Zbl 1253.11101Geroldinger, Alfred; Grynkiewicz, David J.; Schmid, Wolfgang A. 23 2011 Semigroup-theoretical characterizations of arithmetical invariants with applications to numerical monoids and Krull monoids. Zbl 1279.20072Blanco, V.; García-Sánchez, P. A.; Geroldinger, A. 23 2011 Congruence monoids. Zbl 1057.13003Geroldinger, Alfred; Halter-Koch, Franz 21 2004 Factorization problems in semigroups. Zbl 0693.20063Geroldinger, Alfred; Lettl, Günter 21 1990 Zero-sumfree sequences in cyclic groups and some arithmetical application. Zbl 1018.11011Geroldinger, Alfred; Hamidoune, Yahya Ould 21 2002 Non-commutative Krull monoids: a divisor theoretic approach and their arithmetic. Zbl 1279.20073Geroldinger, Alfred 21 2013 The set of distances in Krull monoids. Zbl 1255.13002Geroldinger, Alfred; Yuan, Pingzhi 20 2012 On \(v\)-Marot Mori rings and C-rings. Zbl 1327.13064Geroldinger, Alfred; Ramacher, Sebastian; Reinhart, Andreas 20 2015 Inverse zero-sum problems. Zbl 1188.11052Gao, Weidong; Geroldinger, Alfred; Schmid, Wolfgang A. 19 2007 Zero-sum problems with congruence conditions. Zbl 1259.11020Geroldinger, A.; Grynkiewicz, D. J.; Schmid, W. A. 18 2011 On the arithmetic of certain not integrally closed noetherian integral domains. Zbl 0723.20038Geroldinger, Alfred 18 1991 Systems of sets of lengths: transfer Krull monoids versus weakly Krull monoids. Zbl 1434.11036Geroldinger, Alfred; Schmid, Wolfgang A.; Zhong, Qinghai 17 2017 A realization theorem for sets of lengths in numerical monoids. Zbl 1396.20069Geroldinger, Alfred; Schmid, Wolfgang Alexander 17 2018 Systems of sets of lengths. II. Zbl 1036.11054Gao, W.; Geroldinger, A. 17 2000 On the Davenport constant and on the structure of extremal zero-sum free sequences. Zbl 1263.11038Geroldinger, Alfred; Liebmann, Manfred; Philipp, Andreas 17 2012 The set of minimal distances in Krull monoids. Zbl 1360.20053Geroldinger, Alfred; Zhong, Qinghai 16 2016 Arithmetical theory of monoid homomorphisms. Zbl 0805.20057Geroldinger, Alfred; Halter-Koch, Franz 15 1994 Unions of sets of lengths. Zbl 1228.20046Freeze, Michael; Geroldinger, Alfred 15 2008 On strongly primary monoids, with a focus on Puiseux monoids. Zbl 1456.13003Geroldinger, Alfred; Gotti, Felix; Tringali, Salvatore 14 2021 Multiplicative ideal theory and factorization theory. Commutative and non-commutative perspectives. Selected papers based on the presentations at the meeting ‘Arithmetic and ideal theory of rings and semigroups’, Graz, Austria, September 22–26, 2014. Zbl 1346.13002 14 2016 A structure theorem for sets of lengths. Zbl 0926.11082Geroldinger, Alfred 14 1998 On the structure of zerofree sequences. Zbl 0968.11016Gao, Weidong; Geroldinger, Alfred 14 1998 A realization theorem for sets of distances. Zbl 1365.13002Geroldinger, Alfred; Schmid, Wolfgang A. 14 2017 The critical number of finite abelian groups. Zbl 1214.11113Freeze, Michael; Gao, Weidong; Geroldinger, Alfred 14 2009 On the asymptotic behaviour of lengths of factorizations. Zbl 0751.20044Geroldinger, Alfred; Halter-Koch, Franz 13 1992 Realization theorems for semigroups with divisor theory. Zbl 0751.20045Geroldinger, Alfred; Halter-Koch, Franz 13 1992 Systems of sets of lengths. (Systeme von Längenmengen.) Zbl 0721.11042Geroldinger, A. 13 1990 On a conjecture of Kleitman and Lemke. Zbl 0781.20017Geroldinger, Alfred 12 1993 The system of sets of lengths in Krull monoids under set addition. Zbl 1417.11007Geroldinger, Alfred; Schmid, Wolfgang A. 12 2016 A characterization of class groups via sets of lengths. II. Zbl 1410.11121Geroldinger, Alfred; Zhong, Qinghai 12 2017 The cross number of finite abelian groups. II. Zbl 0833.20061Geroldinger, Alfred; Schneider, Rudolf 12 1994 Monotone chains of factorizations in C-monoids. Zbl 1095.20040Foroutan, Andreas; Geroldinger, Alfred 12 2005 A semigroup-theoretical view of direct-sum decompositions and associated combinatorial problems. Zbl 1385.16003Baeth, N. R.; Geroldinger, A.; Grynkiewicz, D. J.; Smertnig, D. 12 2015 Non-unique factorizations in block semigroups and arithmetical applications. Zbl 0765.11045Geroldinger, A.; Halter-Koch, F. 11 1992 Sets of arithmetical invariants in transfer Krull monoids. Zbl 1472.13002Geroldinger, Alfred; Zhong, Qinghai 11 2019 The catenary degree of Krull monoids. II. Zbl 1373.20074Geroldinger, Alfred; Zhong, Qinghai 11 2015 Zero-sum problems and coverings by proper cosets. Zbl 1026.20032Gao, Weidong; Geroldinger, Alfred 11 2003 On the arithmetic of Krull monoids with finite Davenport constant. Zbl 1196.20066Geroldinger, Alfred; Grynkiewicz, David J. 11 2009 On zero-sum subsequences of restricted size. IV. Zbl 1090.11014Chi, Rui; Ding, Shuyan; Gao, Weidong; Geroldinger, A.; Schmid, W. A. 10 2005 On the structure and arithmetic of finitely primary monoids. Zbl 0879.20032Geroldinger, A. 10 1996 The set of distances in seminormal weakly Krull monoids. Zbl 1419.11120Geroldinger, Alfred; Zhong, Qinghai 9 2016 Non-unique factorizations in orders of global fields. Zbl 0812.11061Geroldinger, Alfred; Halter-Koch, Franz; Kaczorowski, Jerzy 9 1995 The monotone catenary degree of monoids of ideals. Zbl 1419.13005Geroldinger, Alfred; Reinhart, Andreas 9 2019 Products of two atoms in Krull monoids and arithmetical characterizations of class groups. Zbl 1309.20050Baginski, Paul; Geroldinger, Alfred; Grynkiewicz, David J.; Philipp, Andreas 9 2013 Half-factorial subsets in infinite abelian groups. Zbl 1095.13531Geroldinger, Alfred; Göbel, Rüdiger 9 2003 Chains of factorizations in weakly Krull domains. Zbl 0874.13001Geroldinger, Alfred 9 1997 Chains of factorizations and sets of lengths. Zbl 0882.20039Geroldinger, Alfred 9 1997 Finitary monoids. Zbl 1043.20033Geroldinger, Alfred; Halter-Koch, Franz; Hassler, Wolfgang; Kainrath, Florian 9 2003 Long sets of lengths with maximal elasticity. Zbl 1474.13004Geroldinger, Alfred; Zhong, Qinghai 9 2018 On the arithmetic of strongly primary monoids. Zbl 1143.20041Geroldinger, Alfred; Hassler, Wolfgang; Lettl, Günter 9 2007 On products of \(k\) atoms. II. Zbl 1381.20047Geroldinger, Alfred; Grynkiewicz, David J.; Yuan, Pingzhi 8 2015 The cross number of finite Abelian groups. Zbl 0814.20033Geroldinger, Alfred 8 1994 Quasi-divisor theories and generalizations of Krull domains. Zbl 0853.13012Geroldinger, Alfred; Močkoř, Jiří 8 1995 An addition theorem and its arithmetical application. Zbl 1019.11002Freiman, Gregory; Geroldinger, Alfred 8 2000 Half-factorial domains and half-factorial subsets of Abelian groups. Zbl 0994.20046Gao, Weidong; Geroldinger, Alfred 8 1998 Analytic and arithmetic theory of semigroups with divisor theory. Zbl 0780.11046Geroldinger, Alfred; Kaczorowski, Jerzy 8 1992 \(T\)-block monoids and their arithmetical applications to certain integral domains. Zbl 0809.13013Geroldinger, Alfred 7 1994 The cross number of finite Abelian groups. III. Zbl 0848.20048Geroldinger, Alfred; Schneider, Rudolf 7 1996 The catenary degree and tameness of factorizations in weakly Krull domains. Zbl 0897.13002Geroldinger, Alfred 7 1997 A characterization of class groups via sets of lengths. Zbl 1447.11011Geroldinger, Alfred; Schmid, Wolfgang Alexander 7 2019 The complete integral closure of monoids and domains. II. Zbl 0837.20073Geroldinger, A.; Halter-Koch, F.; Lettl, G. 6 1995 Sets of lengths in atomic unit-cancellative finitely presented monoids. Zbl 1441.20040Geroldinger, Alfred; Schwab, Emil Daniel 6 2018 Local and global tameness in Krull monoids. Zbl 1320.20057Gao, Weidong; Geroldinger, Alfred; Schmid, Wolfgang A. 6 2015 Ein quantitatives Resultat über Faktorisierungen verschiedener Länge in algebraischen Zahlkörpern. (A quantitative result on factorizations of different length in algebraic number fields). Zbl 0721.11041Geroldinger, Alfred 6 1990 Transfer principles in the theory of non-unique factorizations. Zbl 1087.13002Geroldinger, Alfred; Halter-Koch, Franz 6 2005 On cross numbers of minimal zero sequences. Zbl 0866.11018Chapman, Scott T.; Geroldinger, Alfred 6 1996 On zero-sum sequences in \(\mathbb Z/n \mathbb Z \oplus \mathbb Z/n \mathbb Z\). Zbl 1078.11010Gao, Weidong; Geroldinger, Alfred 6 2003 The monotone catenary degree of Krull monoids. Zbl 1278.20079Geroldinger, Alfred; Yuan, Pingzhi 6 2013 Group algebras of finite abelian groups and their applications to combinatorial problems. Zbl 1200.05254Gao, Weidong; Geroldinger, Alfred; Halter-Koch, Franz 5 2009 On the order of elements in long minimal zero-sum sequences. Zbl 1017.20043Gao, Weidong; Geroldinger, Alfred 5 2002 On the number of subsequences with given sum of sequences over finite abelian \(p\)-groups. Zbl 1141.11013Gao, Weidong; Geroldinger, Alfred 5 2007 On product-one sequences over dihedral groups. Zbl 1493.13003Geroldinger, Alfred; Grynkiewicz, David J.; Oh, Jun Seok; Zhong, Qinghai 5 2022 On strongly primary monoids and domains. Zbl 1452.13002Geroldinger, Alfred; Roitman, Moshe 4 2020 Factorization of natural numbers in algebraic number fields. Zbl 0729.11054Geroldinger, A. 4 1991 The complete integral closure of monoids and domains. Zbl 0805.20055Geroldinger, Alfred 4 1993 Minimal relations and catenary degrees in Krull monoids. Zbl 1409.13004Fan, Yushuang; Geroldinger, Alfred 4 2019 Arithmetical characterizations of divisor class groups. Zbl 0703.20059Geroldinger, Alfred 4 1990 On product-one sequences over dihedral groups. Zbl 1493.13003Geroldinger, Alfred; Grynkiewicz, David J.; Oh, Jun Seok; Zhong, Qinghai 5 2022 On the arithmetic of monoids of ideals. Zbl 1495.13028Geroldinger, Alfred; Khadam, M. Azeem 3 2022 On strongly primary monoids, with a focus on Puiseux monoids. Zbl 1456.13003Geroldinger, Alfred; Gotti, Felix; Tringali, Salvatore 14 2021 A characterization of length-factorial Krull monoids. Zbl 1484.13044Geroldinger, Alfred; Zhong, Qinghai 3 2021 On the arithmetic of stable domains. Zbl 1476.13007Bashir, Aqsa; Geroldinger, Alfred; Reinhart, Andreas 2 2021 A characterization of Krull monoids for which sets of lengths are (almost) arithmetical progressions. Zbl 1455.13002Geroldinger, Alfred; Schmid, Wolfgang Alexander 2 2021 Factorization theory in commutative monoids. Zbl 1442.20037Geroldinger, Alfred; Zhong, Qinghai 24 2020 On strongly primary monoids and domains. Zbl 1452.13002Geroldinger, Alfred; Roitman, Moshe 4 2020 Advances in rings, modules and factorizations. Selected papers based on the presentations at the international conference on rings and factorizations, Graz, Austria, February 19–23, 2018. Zbl 1445.13002 1 2020 On monoids of ideals of orders in quadratic number fields. Zbl 1459.13004Brantner, Johannes; Geroldinger, Alfred; Reinhart, Andreas 1 2020 Sets of arithmetical invariants in transfer Krull monoids. Zbl 1472.13002Geroldinger, Alfred; Zhong, Qinghai 11 2019 The monotone catenary degree of monoids of ideals. Zbl 1419.13005Geroldinger, Alfred; Reinhart, Andreas 9 2019 A characterization of class groups via sets of lengths. Zbl 1447.11011Geroldinger, Alfred; Schmid, Wolfgang Alexander 7 2019 Minimal relations and catenary degrees in Krull monoids. Zbl 1409.13004Fan, Yushuang; Geroldinger, Alfred 4 2019 A characterization of seminormal C-monoids. Zbl 1458.13004Geroldinger, Alfred; Zhong, Qinghai 3 2019 A realization theorem for sets of lengths in numerical monoids. Zbl 1396.20069Geroldinger, Alfred; Schmid, Wolfgang Alexander 17 2018 Long sets of lengths with maximal elasticity. Zbl 1474.13004Geroldinger, Alfred; Zhong, Qinghai 9 2018 Sets of lengths in atomic unit-cancellative finitely presented monoids. Zbl 1441.20040Geroldinger, Alfred; Schwab, Emil Daniel 6 2018 Arithmetic of commutative semigroups with a focus on semigroups of ideals and modules. Zbl 1441.20041Fan, Yushuang; Geroldinger, Alfred; Kainrath, Florian; Tringali, Salvatore 25 2017 Systems of sets of lengths: transfer Krull monoids versus weakly Krull monoids. Zbl 1434.11036Geroldinger, Alfred; Schmid, Wolfgang A.; Zhong, Qinghai 17 2017 A realization theorem for sets of distances. Zbl 1365.13002Geroldinger, Alfred; Schmid, Wolfgang A. 14 2017 A characterization of class groups via sets of lengths. II. Zbl 1410.11121Geroldinger, Alfred; Zhong, Qinghai 12 2017 Sets of lengths. Zbl 1391.13004Geroldinger, Alfred 48 2016 The interplay of invariant theory with multiplicative ideal theory and with arithmetic combinatorics. Zbl 1349.13014Cziszter, Kálmán; Domokos, Mátyás; Geroldinger, Alfred 28 2016 The set of minimal distances in Krull monoids. Zbl 1360.20053Geroldinger, Alfred; Zhong, Qinghai 16 2016 Multiplicative ideal theory and factorization theory. Commutative and non-commutative perspectives. Selected papers based on the presentations at the meeting ‘Arithmetic and ideal theory of rings and semigroups’, Graz, Austria, September 22–26, 2014. Zbl 1346.13002 14 2016 The system of sets of lengths in Krull monoids under set addition. Zbl 1417.11007Geroldinger, Alfred; Schmid, Wolfgang A. 12 2016 The set of distances in seminormal weakly Krull monoids. Zbl 1419.11120Geroldinger, Alfred; Zhong, Qinghai 9 2016 Arithmetic of seminormal weakly Krull monoids and domains. Zbl 1327.13006Geroldinger, Alfred; Kainrath, Florian; Reinhart, Andreas 29 2015 On \(v\)-Marot Mori rings and C-rings. Zbl 1327.13064Geroldinger, Alfred; Ramacher, Sebastian; Reinhart, Andreas 20 2015 A semigroup-theoretical view of direct-sum decompositions and associated combinatorial problems. Zbl 1385.16003Baeth, N. R.; Geroldinger, A.; Grynkiewicz, D. J.; Smertnig, D. 12 2015 The catenary degree of Krull monoids. II. Zbl 1373.20074Geroldinger, Alfred; Zhong, Qinghai 11 2015 On products of \(k\) atoms. II. Zbl 1381.20047Geroldinger, Alfred; Grynkiewicz, David J.; Yuan, Pingzhi 8 2015 Local and global tameness in Krull monoids. Zbl 1320.20057Gao, Weidong; Geroldinger, Alfred; Schmid, Wolfgang A. 6 2015 Corrigendum to: “The critical number of finite abelian groups”. Zbl 1393.11065Freeze, Michael; Gao, Weidong; Geroldinger, Alfred 1 2015 Monoids of modules and arithmetic of direct-sum decompositions. Zbl 1347.16006Baeth, Nicholas R.; Geroldinger, Alfred 31 2014 The large Davenport constant. I: Groups with a cyclic, index 2 subgroup. Zbl 1276.20027Geroldinger, Alfred; Grynkiewicz, David J. 34 2013 Non-commutative Krull monoids: a divisor theoretic approach and their arithmetic. Zbl 1279.20073Geroldinger, Alfred 21 2013 Products of two atoms in Krull monoids and arithmetical characterizations of class groups. Zbl 1309.20050Baginski, Paul; Geroldinger, Alfred; Grynkiewicz, David J.; Philipp, Andreas 9 2013 The monotone catenary degree of Krull monoids. Zbl 1278.20079Geroldinger, Alfred; Yuan, Pingzhi 6 2013 The set of distances in Krull monoids. Zbl 1255.13002Geroldinger, Alfred; Yuan, Pingzhi 20 2012 On the Davenport constant and on the structure of extremal zero-sum free sequences. Zbl 1263.11038Geroldinger, Alfred; Liebmann, Manfred; Philipp, Andreas 17 2012 The catenary degree of Krull monoids. I. Zbl 1253.11101Geroldinger, Alfred; Grynkiewicz, David J.; Schmid, Wolfgang A. 23 2011 Semigroup-theoretical characterizations of arithmetical invariants with applications to numerical monoids and Krull monoids. Zbl 1279.20072Blanco, V.; García-Sánchez, P. A.; Geroldinger, A. 23 2011 Zero-sum problems with congruence conditions. Zbl 1259.11020Geroldinger, A.; Grynkiewicz, D. J.; Schmid, W. A. 18 2011 A quantitative aspect of non-unique factorizations: the Narkiewicz constants. Zbl 1230.20023Gao, Weidong; Geroldinger, Alfred; Wang, Qinghong 3 2011 Inverse zero-sum problems. III. Zbl 1213.11178Gao, Weidong; Geroldinger, Alfred; Grynkiewicz, David J. 30 2010 On the arithmetic of tame monoids with applications to Krull monoids and Mori domains. Zbl 1207.20055Geroldinger, Alfred; Kainrath, Florian 25 2010 On the arithmetic of Krull monoids with infinite cyclic class group. Zbl 1208.13003Geroldinger, A.; Grynkiewicz, D. J.; Schaeffer, G. J.; Schmid, W. A. 24 2010 Semigroup-theoretical characterizations of arithmetical invariants with applications to numerical monoids and Krull monoids. Zbl 1474.20117Blanco, Víctor; García-Sánchez, Pedro A.; Geroldinger, Alfred 1 2010 Additive group theory and non-unique factorizations. Zbl 1221.20045Geroldinger, Alfred 93 2009 Combinatorial number theory and additive group theory. With a foreword by Javier Cilleruelo, Marc Noy and Oriol Serra (Coordinators of the DocCourse). Zbl 1177.11005Geroldinger, Alfred; Ruzsa, Imre Z. 45 2009 On products of \(k\) atoms. Zbl 1184.20051Gao, Weidong; Geroldinger, Alfred 35 2009 The critical number of finite abelian groups. Zbl 1214.11113Freeze, Michael; Gao, Weidong; Geroldinger, Alfred 14 2009 On the arithmetic of Krull monoids with finite Davenport constant. Zbl 1196.20066Geroldinger, Alfred; Grynkiewicz, David J. 11 2009 Group algebras of finite abelian groups and their applications to combinatorial problems. Zbl 1200.05254Gao, Weidong; Geroldinger, Alfred; Halter-Koch, Franz 5 2009 On the structure of minimal zero-sum sequences with maximal cross number. Zbl 1263.11093Geroldinger, Alfred; Grynkiewicz, David J. 3 2009 Local tameness of \(v\)-Noetherian monoids. Zbl 1133.20047Geroldinger, Alfred; Hassler, Wolfgang 42 2008 Arithmetic of Mori domains and monoids. Zbl 1195.13022Geroldinger, Alfred; Hassler, Wolfgang 23 2008 Unions of sets of lengths. Zbl 1228.20046Freeze, Michael; Geroldinger, Alfred 15 2008 Zero-sum problems in finite abelian groups and affine caps. Zbl 1205.11028Edel, Yves; Elsholtz, Christian; Geroldinger, Alfred; Kubertin, Silke; Rackham, Laurence 46 2007 Inverse zero-sum problems. Zbl 1188.11052Gao, Weidong; Geroldinger, Alfred; Schmid, Wolfgang A. 19 2007 On the arithmetic of strongly primary monoids. Zbl 1143.20041Geroldinger, Alfred; Hassler, Wolfgang; Lettl, Günter 9 2007 On the number of subsequences with given sum of sequences over finite abelian \(p\)-groups. Zbl 1141.11013Gao, Weidong; Geroldinger, Alfred 5 2007 Non-unique factorizations. Algebraic, combinatorial and analytic theory. Zbl 1113.11002Geroldinger, Alfred; Halter-Koch, Franz 305 2006 Zero-sum problems in finite Abelian groups: a survey. Zbl 1122.11013Gao, Weidong; Geroldinger, Alfred 177 2006 Non-unique factorizations: a survey. Zbl 1117.13004Geroldinger, Alfred; Halter-Koch, Franz 63 2006 Monotone chains of factorizations in C-monoids. Zbl 1095.20040Foroutan, Andreas; Geroldinger, Alfred 12 2005 On zero-sum subsequences of restricted size. IV. Zbl 1090.11014Chi, Rui; Ding, Shuyan; Gao, Weidong; Geroldinger, A.; Schmid, W. A. 10 2005 Transfer principles in the theory of non-unique factorizations. Zbl 1087.13002Geroldinger, Alfred; Halter-Koch, Franz 6 2005 On a property of minimal zero-sum sequences and restricted sumsets. Zbl 1122.11012Gao, Weidong; Geroldinger, Alfred 1 2005 Congruence monoids. Zbl 1057.13003Geroldinger, Alfred; Halter-Koch, Franz 21 2004 Zero-sum problems and coverings by proper cosets. Zbl 1026.20032Gao, Weidong; Geroldinger, Alfred 11 2003 Half-factorial subsets in infinite abelian groups. Zbl 1095.13531Geroldinger, Alfred; Göbel, Rüdiger 9 2003 Finitary monoids. Zbl 1043.20033Geroldinger, Alfred; Halter-Koch, Franz; Hassler, Wolfgang; Kainrath, Florian 9 2003 On zero-sum sequences in \(\mathbb Z/n \mathbb Z \oplus \mathbb Z/n \mathbb Z\). Zbl 1078.11010Gao, Weidong; Geroldinger, Alfred 6 2003 Zero-sumfree sequences in cyclic groups and some arithmetical application. Zbl 1018.11011Geroldinger, Alfred; Hamidoune, Yahya Ould 21 2002 On the order of elements in long minimal zero-sum sequences. Zbl 1017.20043Gao, Weidong; Geroldinger, Alfred 5 2002 Tamely generated ideals in finitary monoids. Zbl 1066.20059Geroldinger, Alfred; Halter-Koch, Franz 3 2002 Systems of sets of lengths. II. Zbl 1036.11054Gao, W.; Geroldinger, A. 17 2000 An addition theorem and its arithmetical application. Zbl 1019.11002Freiman, Gregory; Geroldinger, Alfred 8 2000 On long minimal zero sequences in finite abelian groups. Zbl 0980.11014Gao, Weidong; Geroldinger, Alfred 34 1999 A structure theorem for sets of lengths. Zbl 0926.11082Geroldinger, Alfred 14 1998 On the structure of zerofree sequences. Zbl 0968.11016Gao, Weidong; Geroldinger, Alfred 14 1998 Half-factorial domains and half-factorial subsets of Abelian groups. Zbl 0994.20046Gao, Weidong; Geroldinger, Alfred 8 1998 Krull domains and monoids, their sets of lengths, and associated combinatorial problems. Zbl 0897.13001Chapman, Scott; Geroldinger, Alfred 33 1997 Chains of factorizations in weakly Krull domains. Zbl 0874.13001Geroldinger, Alfred 9 1997 Chains of factorizations and sets of lengths. Zbl 0882.20039Geroldinger, Alfred 9 1997 The catenary degree and tameness of factorizations in weakly Krull domains. Zbl 0897.13002Geroldinger, Alfred 7 1997 On minimal zero sequences with large cross number. Zbl 0933.05150Geroldinger, Alfred; Schneider, Rudolf 3 1997 Chains of factorizations in orders of global fields. Zbl 0874.11073Geroldinger, Alfred 2 1997 On the structure and arithmetic of finitely primary monoids. Zbl 0879.20032Geroldinger, A. 10 1996 The cross number of finite Abelian groups. III. Zbl 0848.20048Geroldinger, Alfred; Schneider, Rudolf 7 1996 On cross numbers of minimal zero sequences. Zbl 0866.11018Chapman, Scott T.; Geroldinger, Alfred 6 1996 On quasi divisor theories and systems of valuations. Zbl 0846.13002Geroldinger, Alfred; Halter-Koch, Franz 1 1996 Non-unique factorizations in orders of global fields. Zbl 0812.11061Geroldinger, Alfred; Halter-Koch, Franz; Kaczorowski, Jerzy 9 1995 Quasi-divisor theories and generalizations of Krull domains. Zbl 0853.13012Geroldinger, Alfred; Močkoř, Jiří 8 1995 The complete integral closure of monoids and domains. II. Zbl 0837.20073Geroldinger, A.; Halter-Koch, F.; Lettl, G. 6 1995 Arithmetical theory of monoid homomorphisms. Zbl 0805.20057Geroldinger, Alfred; Halter-Koch, Franz 15 1994 The cross number of finite abelian groups. II. Zbl 0833.20061Geroldinger, Alfred; Schneider, Rudolf 12 1994 ...and 20 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 469 Authors 74 Geroldinger, Alfred 45 Chapman, Scott Thomas 41 Gao, Weidong 35 Schmid, Wolfgang Alexander 26 Zhong, Qinghai 23 Gotti, Felix 23 Grynkiewicz, David J. 23 O’Neill, Christopher 22 Li, Yuanlin 20 García Sánchez, Pedro A. 19 Baeth, Nicholas R. 18 Halter-Koch, Franz 17 Peng, Jiangtao 15 Smith, William W. 13 Ordaz, Oscar 13 Qu, Yongke 13 Yuan, Pingzhi 13 Zeng, Xiangneng 12 Han, Dongchun 11 Anderson, David Fenimore 11 Ponomarenko, Vadim 9 Adhikari, Sukumar Das 9 Domokos, Mátyás 9 Girard, Benjamin 9 Reinhart, Andreas 9 Smertnig, Daniel 9 Tringali, Salvatore 9 Wang, Guoqing 8 Anderson, Daniel D. 8 Cziszter, Kálmán 8 García García, Juan Ignacio 8 Hassler, Wolfgang 8 Marchan, Luz Elimar 8 Oh, Jun-Seok 8 Philipp, Andreas 8 Thangadurai, Ravindranathan 8 Zhang, Hanbin 7 Fan, Yushuang 7 Gotti, Marly 7 Hui, Wanzhen 7 Liu, Chao 7 Plagne, Alain 7 Rosales, José Carlos 6 Coykendall, James 6 Juett, Jason Robert 6 Kainrath, Florian 6 Llena, David 6 Močkoř, Jiří 6 Pelayo, Roberto Carlos 5 Baginski, Paul 5 Deng, Guixin 5 Frisch, Sophie 5 Hamidoune, Yahya Ould 5 Moreno-Frías, Maria Angeles 5 Radziejewski, Maciej 5 Windisch, Daniel 5 Zhuang, Jujuan 4 Blanco, Víctor 4 Brochero Martínez, Fabio Enrique 4 Chang, Gyu Whan 4 Chintamani, Mohan N. 4 Fadinger, Victor 4 Freeze, Michael 4 Garcia, Stephan Ramon 4 Hong, Siao 4 Kaczorowski, Jerzy 4 Kaplan, Nathan 4 Li, Xue 4 Moriya, B. K. 4 Nakato, Sarah 4 Pardey, Johannes 4 Polo, Harold 4 Rautenbach, Dieter 4 Ribas, Sávio 4 Schaeffer, George J. 4 Yin, Qiuyu 4 Zhao, Kevin 4 Zhao, Pingping 3 Balandraud, Éric 3 Bashir, Aqsa 3 Caro, Yair 3 Chen, Fang 3 Edmonds, Ranthony A. C. 3 Facchini, Alberto 3 Ge, Fan 3 Griffiths, Simon 3 He, Xiaoyu 3 Huang, Meiling 3 Kontolatou, Angeliki 3 Lettl, Günter Hermann Alexander 3 Li, Bangzheng 3 Mazumdar, Eshita 3 Molla, Md Ibrahim 3 Okniński, Jan 3 Paul, Prabal 3 Rissner, Roswitha 3 Roy, Bidisha 3 Sarkar, Subha 3 Sissokho, Papa Amar 3 Sun, Fang ...and 369 more Authors all top 5 Cited in 118 Serials 43 Communications in Algebra 38 Journal of Algebra 36 Journal of Number Theory 30 Semigroup Forum 29 Journal of Pure and Applied Algebra 27 Discrete Mathematics 27 International Journal of Number Theory 25 Journal of Combinatorial Theory. Series A 18 Journal of Algebra and its Applications 16 European Journal of Combinatorics 15 Integers 14 Israel Journal of Mathematics 13 Journal of Commutative Algebra 12 Acta Arithmetica 10 Archiv der Mathematik 9 International Journal of Algebra and Computation 9 Journal de Théorie des Nombres de Bordeaux 8 Monatshefte für Mathematik 8 Linear Algebra and its Applications 8 The Electronic Journal of Combinatorics 6 American Mathematical Monthly 6 Rocky Mountain Journal of Mathematics 6 Colloquium Mathematicum 6 Proceedings of the American Mathematical Society 6 Proceedings of the Indian Academy of Sciences. 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Commentarii Mathematici 3 Manuscripta Mathematica 3 Mathematische Annalen 3 Acta Mathematica Hungarica 3 Designs, Codes and Cryptography 3 Algebras and Representation Theory 3 Communications of the Korean Mathematical Society 3 Actes des Rencontres du C.I.R.M. 2 Bulletin of the Australian Mathematical Society 2 Mathematics of Computation 2 Mathematische Zeitschrift 2 Pacific Journal of Mathematics 2 Advances in Applied Mathematics 2 Journal of Symbolic Computation 2 Revista Matemática Iberoamericana 2 SIAM Journal on Discrete Mathematics 2 Elemente der Mathematik 2 Expositiones Mathematicae 2 Combinatorics, Probability and Computing 2 The New York Journal of Mathematics 2 Acta Mathematica et Informatica Universitatis Ostraviensis 2 International Electronic Journal of Algebra (IEJA) 2 Arabian Journal of Mathematics 1 Communications in Mathematical Physics 1 Information Processing Letters 1 Journal of Mathematical Analysis and Applications 1 Ukrainian Mathematical Journal 1 Arkiv för Matematik 1 Mathematics Magazine 1 Algebra Universalis 1 Annales de l’Institut Fourier 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Canadian Journal of Mathematics 1 Glasgow Mathematical Journal 1 Illinois Journal of Mathematics 1 Journal of Graph Theory 1 Journal of the Korean Mathematical Society 1 Osaka Journal of Mathematics 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Ricerche di Matematica 1 Combinatorica 1 Graphs and Combinatorics 1 Journal of the Ramanujan Mathematical Society 1 Séminaire de Théorie des Nombres de Bordeaux. Deuxième Série 1 MSCS. Mathematical Structures in Computer Science 1 Acta Mathematica Universitatis Comenianae. New Series 1 Aequationes Mathematicae 1 European Journal of Operational Research 1 International Journal of Computer Mathematics 1 Bulletin of the American Mathematical Society. New Series 1 Mathematical Programming. Series A. Series B 1 Indagationes Mathematicae. New Series 1 Journal of Algebraic Combinatorics 1 Applied Categorical Structures 1 Annales Mathématiques Blaise Pascal 1 Journal of the Egyptian Mathematical Society 1 Turkish Journal of Mathematics 1 Finite Fields and their Applications 1 Selecta Mathematica. New Series 1 The Journal of Fourier Analysis and Applications 1 Transformation Groups ...and 18 more Serials all top 5 Cited in 29 Fields 382 Group theory and generalizations (20-XX) 380 Number theory (11-XX) 228 Commutative algebra (13-XX) 61 Combinatorics (05-XX) 46 Associative rings and algebras (16-XX) 15 Order, lattices, ordered algebraic structures (06-XX) 12 Linear and multilinear algebra; matrix theory (15-XX) 10 Computer science (68-XX) 7 Algebraic geometry (14-XX) 7 Convex and discrete geometry (52-XX) 7 Information and communication theory, circuits (94-XX) 5 \(K\)-theory (19-XX) 4 Functional analysis (46-XX) 4 Geometry (51-XX) 4 Operations research, mathematical programming (90-XX) 2 Field theory and polynomials (12-XX) 2 Category theory; homological algebra (18-XX) 2 Topological groups, Lie groups (22-XX) 1 History and biography (01-XX) 1 Mathematical logic and foundations (03-XX) 1 Partial differential equations (35-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Sequences, series, summability (40-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Abstract harmonic analysis (43-XX) 1 Operator theory (47-XX) 1 General topology (54-XX) 1 Algebraic topology (55-XX) 1 Mathematics education (97-XX) Citations by Year