×

Geroldinger, Alfred

Author ID: geroldinger.alfred Recent zbMATH articles by "Geroldinger, Alfred"
Published as: Geroldinger, Alfred; Geroldinger, A.
Homepage: http://imsc.uni-graz.at/geroldinger/
External Links: MGP · dblp · GND
Videos: carmin.tv
all top 5

Serials

9 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
4 European Journal of Combinatorics
3 Periodica Mathematica Hungarica
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 Journal of Commutative Algebra
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 Moscow Journal of Combinatorics and Number Theory
1 Actes des Rencontres du C.I.R.M.
1 Advanced Courses in Mathematics – CRM Barcelona

Publications by Year

Citations contained in zbMATH Open

123 Publications have been cited 2,483 times in 691 Documents Cited by Year
Non-unique factorizations. Algebraic, combinatorial and analytic theory. Zbl 1113.11002
Geroldinger, Alfred; Halter-Koch, Franz
370
2006
Zero-sum problems in finite Abelian groups: a survey. Zbl 1122.11013
Gao, Weidong; Geroldinger, Alfred
189
2006
Additive group theory and non-unique factorizations. Zbl 1221.20045
Geroldinger, Alfred
98
2009
Non-unique factorizations: a survey. Zbl 1117.13004
Geroldinger, Alfred; Halter-Koch, Franz
70
2006
Combinatorial number theory and additive group theory. With a foreword by Javier Cilleruelo, Marc Noy and Oriol Serra (Coordinators of the DocCourse). Zbl 1177.11005
Geroldinger, Alfred; Ruzsa, Imre Z.
68
2009
Sets of lengths. Zbl 1391.13004
Geroldinger, Alfred
58
2016
Zero-sum problems in finite abelian groups and affine caps. Zbl 1205.11028
Edel, Yves; Elsholtz, Christian; Geroldinger, Alfred; Kubertin, Silke; Rackham, Laurence
47
2007
Local tameness of \(v\)-Noetherian monoids. Zbl 1133.20047
Geroldinger, Alfred; Hassler, Wolfgang
46
2008
On Davenport’s constant. Zbl 0759.20008
Geroldinger, Alfred; Schneider, Rudolf
45
1992
On non-unique factorizations into irreducible elements. (Über nicht-eindeutige Zerlegungen in irreduzible Elemente.) Zbl 0618.12002
Geroldinger, Alfred
43
1988
On products of \(k\) atoms. Zbl 1184.20051
Gao, Weidong; Geroldinger, Alfred
37
2009
Krull domains and monoids, their sets of lengths, and associated combinatorial problems. Zbl 0897.13001
Chapman, Scott; Geroldinger, Alfred
36
1997
The large Davenport constant. I: Groups with a cyclic, index 2 subgroup. Zbl 1276.20027
Geroldinger, Alfred; Grynkiewicz, David J.
35
2013
Factorization theory in commutative monoids. Zbl 1442.20037
Geroldinger, Alfred; Zhong, Qinghai
35
2020
On long minimal zero sequences in finite abelian groups. Zbl 0980.11014
Gao, Weidong; Geroldinger, Alfred
34
1999
The interplay of invariant theory with multiplicative ideal theory and with arithmetic combinatorics. Zbl 1349.13014
Cziszter, Kálmán; Domokos, Mátyás; Geroldinger, Alfred
34
2016
Arithmetic of seminormal weakly Krull monoids and domains. Zbl 1327.13006
Geroldinger, Alfred; Kainrath, Florian; Reinhart, Andreas
31
2015
Semigroup-theoretical characterizations of arithmetical invariants with applications to numerical monoids and Krull monoids. Zbl 1279.20072
Blanco, V.; García-Sánchez, P. A.; Geroldinger, A.
31
2011
On the arithmetic of tame monoids with applications to Krull monoids and Mori domains. Zbl 1207.20055
Geroldinger, Alfred; Kainrath, Florian
31
2010
Monoids of modules and arithmetic of direct-sum decompositions. Zbl 1347.16006
Baeth, Nicholas R.; Geroldinger, Alfred
31
2014
Inverse zero-sum problems. III. Zbl 1213.11178
Gao, Weidong; Geroldinger, Alfred; Grynkiewicz, David J.
30
2010
Arithmetic of commutative semigroups with a focus on semigroups of ideals and modules. Zbl 1441.20041
Fan, Yushuang; Geroldinger, Alfred; Kainrath, Florian; Tringali, Salvatore
28
2017
The catenary degree of Krull monoids. I. Zbl 1253.11101
Geroldinger, Alfred; Grynkiewicz, David J.; Schmid, Wolfgang A.
27
2011
On \(v\)-Marot Mori rings and C-rings. Zbl 1327.13064
Geroldinger, Alfred; Ramacher, Sebastian; Reinhart, Andreas
25
2015
Arithmetic of Mori domains and monoids. Zbl 1195.13022
Geroldinger, Alfred; Hassler, Wolfgang
24
2008
On the arithmetic of Krull monoids with infinite cyclic class group. Zbl 1208.13003
Geroldinger, A.; Grynkiewicz, D. J.; Schaeffer, G. J.; Schmid, W. A.
24
2010
Congruence monoids. Zbl 1057.13003
Geroldinger, Alfred; Halter-Koch, Franz
24
2004
Non-commutative Krull monoids: a divisor theoretic approach and their arithmetic. Zbl 1279.20073
Geroldinger, Alfred
22
2013
The set of distances in Krull monoids. Zbl 1255.13002
Geroldinger, Alfred; Yuan, Pingzhi
22
2012
Factorization problems in semigroups. Zbl 0693.20063
Geroldinger, Alfred; Lettl, Günter
22
1990
On strongly primary monoids, with a focus on Puiseux monoids. Zbl 1456.13003
Geroldinger, Alfred; Gotti, Felix; Tringali, Salvatore
22
2021
Zero-sumfree sequences in cyclic groups and some arithmetical application. Zbl 1018.11011
Geroldinger, Alfred; Hamidoune, Yahya Ould
21
2002
Inverse zero-sum problems. Zbl 1188.11052
Gao, Weidong; Geroldinger, Alfred; Schmid, Wolfgang A.
20
2007
Systems of sets of lengths: transfer Krull monoids versus weakly Krull monoids. Zbl 1434.11036
Geroldinger, Alfred; Schmid, Wolfgang A.; Zhong, Qinghai
20
2017
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
19
2016
Zero-sum problems with congruence conditions. Zbl 1259.11020
Geroldinger, A.; Grynkiewicz, D. J.; Schmid, W. A.
19
2011
The set of minimal distances in Krull monoids. Zbl 1360.20053
Geroldinger, Alfred; Zhong, Qinghai
18
2016
On the Davenport constant and on the structure of extremal zero-sum free sequences. Zbl 1263.11038
Geroldinger, Alfred; Liebmann, Manfred; Philipp, Andreas
18
2012
On the arithmetic of certain not integrally closed noetherian integral domains. Zbl 0723.20038
Geroldinger, Alfred
18
1991
A realization theorem for sets of lengths in numerical monoids. Zbl 1396.20069
Geroldinger, Alfred; Schmid, Wolfgang Alexander
18
2018
Systems of sets of lengths. II. Zbl 1036.11054
Gao, W.; Geroldinger, A.
17
2000
Arithmetical theory of monoid homomorphisms. Zbl 0805.20057
Geroldinger, Alfred; Halter-Koch, Franz
16
1994
Unions of sets of lengths. Zbl 1228.20046
Freeze, Michael; Geroldinger, Alfred
15
2008
Sets of arithmetical invariants in transfer Krull monoids. Zbl 1472.13002
Geroldinger, Alfred; Zhong, Qinghai
15
2019
Realization theorems for semigroups with divisor theory. Zbl 0751.20045
Geroldinger, Alfred; Halter-Koch, Franz
14
1992
A structure theorem for sets of lengths. Zbl 0926.11082
Geroldinger, Alfred
14
1998
On the structure of zerofree sequences. Zbl 0968.11016
Gao, Weidong; Geroldinger, Alfred
14
1998
The critical number of finite abelian groups. Zbl 1214.11113
Freeze, Michael; Gao, Weidong; Geroldinger, Alfred
14
2009
The catenary degree of Krull monoids. II. Zbl 1373.20074
Geroldinger, Alfred; Zhong, Qinghai
14
2015
On non-unique factorization into irreducible elements. II. Zbl 0703.11057
Geroldinger, A.
14
1990
A realization theorem for sets of distances. Zbl 1365.13002
Geroldinger, Alfred; Schmid, Wolfgang A.
14
2017
On the asymptotic behaviour of lengths of factorizations. Zbl 0751.20044
Geroldinger, Alfred; Halter-Koch, Franz
13
1992
Monotone chains of factorizations in C-monoids. Zbl 1095.20040
Foroutan, Andreas; Geroldinger, Alfred
13
2005
On the arithmetic of Krull monoids with finite Davenport constant. Zbl 1196.20066
Geroldinger, Alfred; Grynkiewicz, David J.
13
2009
A semigroup-theoretical view of direct-sum decompositions and associated combinatorial problems. Zbl 1385.16003
Baeth, N. R.; Geroldinger, A.; Grynkiewicz, D. J.; Smertnig, D.
13
2015
Systems of sets of lengths. (Systeme von Längenmengen.) Zbl 0721.11042
Geroldinger, A.
13
1990
A characterization of class groups via sets of lengths. II. Zbl 1410.11121
Geroldinger, Alfred; Zhong, Qinghai
13
2017
On a conjecture of Kleitman and Lemke. Zbl 0781.20017
Geroldinger, Alfred
12
1993
The cross number of finite abelian groups. II. Zbl 0833.20061
Geroldinger, Alfred; Schneider, Rudolf
12
1994
On zero-sum sequences in \(\mathbb Z/n \mathbb Z \oplus \mathbb Z/n \mathbb Z\). Zbl 1078.11010
Gao, Weidong; Geroldinger, Alfred
12
2003
The system of sets of lengths in Krull monoids under set addition. Zbl 1417.11007
Geroldinger, Alfred; Schmid, Wolfgang A.
12
2016
Non-unique factorizations in block semigroups and arithmetical applications. Zbl 0765.11045
Geroldinger, A.; Halter-Koch, F.
11
1992
Chains of factorizations in weakly Krull domains. Zbl 0874.13001
Geroldinger, Alfred
11
1997
On the structure and arithmetic of finitely primary monoids. Zbl 0879.20032
Geroldinger, A.
11
1996
Zero-sum problems and coverings by proper cosets. Zbl 1026.20032
Gao, Weidong; Geroldinger, Alfred
11
2003
On zero-sum subsequences of restricted size. IV. Zbl 1090.11014
Chi, Rui; Ding, Shuyan; Gao, Weidong; Geroldinger, A.; Schmid, W. A.
11
2005
Products of two atoms in Krull monoids and arithmetical characterizations of class groups. Zbl 1309.20050
Baginski, Paul; Geroldinger, Alfred; Grynkiewicz, David J.; Philipp, Andreas
11
2013
The monotone catenary degree of monoids of ideals. Zbl 1419.13005
Geroldinger, Alfred; Reinhart, Andreas
11
2019
The set of distances in seminormal weakly Krull monoids. Zbl 1419.11120
Geroldinger, Alfred; Zhong, Qinghai
10
2016
Half-factorial subsets in infinite abelian groups. Zbl 1095.13531
Geroldinger, Alfred; Göbel, Rüdiger
10
2003
On the arithmetic of strongly primary monoids. Zbl 1143.20041
Geroldinger, Alfred; Hassler, Wolfgang; Lettl, Günter
10
2007
A characterization of class groups via sets of lengths. Zbl 1447.11011
Geroldinger, Alfred; Schmid, Wolfgang Alexander
10
2019
Long sets of lengths with maximal elasticity. Zbl 1474.13004
Geroldinger, Alfred; Zhong, Qinghai
10
2018
On products of \(k\) atoms. II. Zbl 1381.20047
Geroldinger, Alfred; Grynkiewicz, David J.; Yuan, Pingzhi
10
2015
Non-unique factorizations in orders of global fields. Zbl 0812.11061
Geroldinger, Alfred; Halter-Koch, Franz; Kaczorowski, Jerzy
9
1995
Finitary monoids. Zbl 1043.20033
Geroldinger, Alfred; Halter-Koch, Franz; Hassler, Wolfgang; Kainrath, Florian
9
2003
Analytic and arithmetic theory of semigroups with divisor theory. Zbl 0780.11046
Geroldinger, Alfred; Kaczorowski, Jerzy
9
1992
Chains of factorizations and sets of lengths. Zbl 0882.20039
Geroldinger, Alfred
9
1997
Quasi-divisor theories and generalizations of Krull domains. Zbl 0853.13012
Geroldinger, Alfred; Močkoř, Jiří
8
1995
The cross number of finite Abelian groups. Zbl 0814.20033
Geroldinger, Alfred
8
1994
An addition theorem and its arithmetical application. Zbl 1019.11002
Freiman, Gregory; Geroldinger, Alfred
8
2000
The catenary degree and tameness of factorizations in weakly Krull domains. Zbl 0897.13002
Geroldinger, Alfred
8
1997
Half-factorial domains and half-factorial subsets of Abelian groups. Zbl 0994.20046
Gao, Weidong; Geroldinger, Alfred
8
1998
On strongly primary monoids and domains. Zbl 1452.13002
Geroldinger, Alfred; Roitman, Moshe
8
2020
A characterization of length-factorial Krull monoids. Zbl 1484.13044
Geroldinger, Alfred; Zhong, Qinghai
8
2021
Sets of lengths in atomic unit-cancellative finitely presented monoids. Zbl 1441.20040
Geroldinger, Alfred; Schwab, Emil Daniel
8
2018
\(T\)-block monoids and their arithmetical applications to certain integral domains. Zbl 0809.13013
Geroldinger, Alfred
7
1994
The cross number of finite Abelian groups. III. Zbl 0848.20048
Geroldinger, Alfred; Schneider, Rudolf
7
1996
The monotone catenary degree of Krull monoids. Zbl 1278.20079
Geroldinger, Alfred; Yuan, Pingzhi
7
2013
On product-one sequences over dihedral groups. Zbl 1493.13003
Geroldinger, Alfred; Grynkiewicz, David J.; Oh, Jun Seok; Zhong, Qinghai
7
2022
On the arithmetic of monoids of ideals. Zbl 1495.13028
Geroldinger, Alfred; Khadam, M. Azeem
7
2022
On cross numbers of minimal zero sequences. Zbl 0866.11018
Chapman, Scott T.; Geroldinger, Alfred
6
1996
The complete integral closure of monoids and domains. II. Zbl 0837.20073
Geroldinger, A.; Halter-Koch, F.; Lettl, G.
6
1995
On the order of elements in long minimal zero-sum sequences. Zbl 1017.20043
Gao, Weidong; Geroldinger, Alfred
6
2002
Transfer principles in the theory of non-unique factorizations. Zbl 1087.13002
Geroldinger, Alfred; Halter-Koch, Franz
6
2005
Local and global tameness in Krull monoids. Zbl 1320.20057
Gao, Weidong; Geroldinger, Alfred; Schmid, Wolfgang A.
6
2015
Group algebras of finite abelian groups and their applications to combinatorial problems. Zbl 1200.05254
Gao, Weidong; Geroldinger, Alfred; Halter-Koch, Franz
6
2009
A quantitative result on factorizations of different length in algebraic number fields. (Ein quantitatives Resultat über Faktorisierungen verschiedener Länge in algebraischen Zahlkörpern.) Zbl 0721.11041
Geroldinger, Alfred
6
1990
On the number of subsequences with given sum of sequences over finite abelian \(p\)-groups. Zbl 1141.11013
Gao, Weidong; Geroldinger, Alfred
6
2007
A quantitative aspect of non-unique factorizations: the Narkiewicz constants. Zbl 1230.20023
Gao, Weidong; Geroldinger, Alfred; Wang, Qinghong
5
2011
On Dedekind domains whose class groups are direct sums of cyclic groups. Zbl 1520.13026
Chang, Gyu Whan; Geroldinger, Alfred
1
2024
On product-one sequences over dihedral groups. Zbl 1493.13003
Geroldinger, Alfred; Grynkiewicz, David J.; Oh, Jun Seok; Zhong, Qinghai
7
2022
On the arithmetic of monoids of ideals. Zbl 1495.13028
Geroldinger, Alfred; Khadam, M. Azeem
7
2022
On monoids of weighted zero-sum sequences and applications to norm monoids in Galois number fields and binary quadratic forms. Zbl 1524.20058
Geroldinger, A.; Halter-Koch, F.; Zhong, Q.
2
2022
On strongly primary monoids, with a focus on Puiseux monoids. Zbl 1456.13003
Geroldinger, Alfred; Gotti, Felix; Tringali, Salvatore
22
2021
A characterization of length-factorial Krull monoids. Zbl 1484.13044
Geroldinger, Alfred; Zhong, Qinghai
8
2021
A characterization of Krull monoids for which sets of lengths are (almost) arithmetical progressions. Zbl 1455.13002
Geroldinger, Alfred; Schmid, Wolfgang Alexander
4
2021
On the arithmetic of stable domains. Zbl 1476.13007
Bashir, Aqsa; Geroldinger, Alfred; Reinhart, Andreas
3
2021
Factorization theory in commutative monoids. Zbl 1442.20037
Geroldinger, Alfred; Zhong, Qinghai
35
2020
On strongly primary monoids and domains. Zbl 1452.13002
Geroldinger, Alfred; Roitman, Moshe
8
2020
On monoids of ideals of orders in quadratic number fields. Zbl 1459.13004
Brantner, Johannes; Geroldinger, Alfred; Reinhart, Andreas
3
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
Sets of arithmetical invariants in transfer Krull monoids. Zbl 1472.13002
Geroldinger, Alfred; Zhong, Qinghai
15
2019
The monotone catenary degree of monoids of ideals. Zbl 1419.13005
Geroldinger, Alfred; Reinhart, Andreas
11
2019
A characterization of class groups via sets of lengths. Zbl 1447.11011
Geroldinger, Alfred; Schmid, Wolfgang Alexander
10
2019
A characterization of seminormal C-monoids. Zbl 1458.13004
Geroldinger, Alfred; Zhong, Qinghai
5
2019
Minimal relations and catenary degrees in Krull monoids. Zbl 1409.13004
Fan, Yushuang; Geroldinger, Alfred
5
2019
Which sets are sets of lengths in all numerical monoids? Zbl 1480.20131
Geroldinger, Alfred; Schmid, Wolfgang A.
2
2019
A realization theorem for sets of lengths in numerical monoids. Zbl 1396.20069
Geroldinger, Alfred; Schmid, Wolfgang Alexander
18
2018
Long sets of lengths with maximal elasticity. Zbl 1474.13004
Geroldinger, Alfred; Zhong, Qinghai
10
2018
Sets of lengths in atomic unit-cancellative finitely presented monoids. Zbl 1441.20040
Geroldinger, Alfred; Schwab, Emil Daniel
8
2018
Arithmetic of commutative semigroups with a focus on semigroups of ideals and modules. Zbl 1441.20041
Fan, Yushuang; Geroldinger, Alfred; Kainrath, Florian; Tringali, Salvatore
28
2017
Systems of sets of lengths: transfer Krull monoids versus weakly Krull monoids. Zbl 1434.11036
Geroldinger, Alfred; Schmid, Wolfgang A.; Zhong, Qinghai
20
2017
A realization theorem for sets of distances. Zbl 1365.13002
Geroldinger, Alfred; Schmid, Wolfgang A.
14
2017
A characterization of class groups via sets of lengths. II. Zbl 1410.11121
Geroldinger, Alfred; Zhong, Qinghai
13
2017
Sets of lengths. Zbl 1391.13004
Geroldinger, Alfred
58
2016
The interplay of invariant theory with multiplicative ideal theory and with arithmetic combinatorics. Zbl 1349.13014
Cziszter, Kálmán; Domokos, Mátyás; Geroldinger, Alfred
34
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
19
2016
The set of minimal distances in Krull monoids. Zbl 1360.20053
Geroldinger, Alfred; Zhong, Qinghai
18
2016
The system of sets of lengths in Krull monoids under set addition. Zbl 1417.11007
Geroldinger, Alfred; Schmid, Wolfgang A.
12
2016
The set of distances in seminormal weakly Krull monoids. Zbl 1419.11120
Geroldinger, Alfred; Zhong, Qinghai
10
2016
Arithmetic of seminormal weakly Krull monoids and domains. Zbl 1327.13006
Geroldinger, Alfred; Kainrath, Florian; Reinhart, Andreas
31
2015
On \(v\)-Marot Mori rings and C-rings. Zbl 1327.13064
Geroldinger, Alfred; Ramacher, Sebastian; Reinhart, Andreas
25
2015
The catenary degree of Krull monoids. II. Zbl 1373.20074
Geroldinger, Alfred; Zhong, Qinghai
14
2015
A semigroup-theoretical view of direct-sum decompositions and associated combinatorial problems. Zbl 1385.16003
Baeth, N. R.; Geroldinger, A.; Grynkiewicz, D. J.; Smertnig, D.
13
2015
On products of \(k\) atoms. II. Zbl 1381.20047
Geroldinger, Alfred; Grynkiewicz, David J.; Yuan, Pingzhi
10
2015
Local and global tameness in Krull monoids. Zbl 1320.20057
Gao, Weidong; Geroldinger, Alfred; Schmid, Wolfgang A.
6
2015
Corrigendum to: “The critical number of finite abelian groups”. Zbl 1393.11065
Freeze, Michael; Gao, Weidong; Geroldinger, Alfred
1
2015
Monoids of modules and arithmetic of direct-sum decompositions. Zbl 1347.16006
Baeth, Nicholas R.; Geroldinger, Alfred
31
2014
The large Davenport constant. I: Groups with a cyclic, index 2 subgroup. Zbl 1276.20027
Geroldinger, Alfred; Grynkiewicz, David J.
35
2013
Non-commutative Krull monoids: a divisor theoretic approach and their arithmetic. Zbl 1279.20073
Geroldinger, Alfred
22
2013
Products of two atoms in Krull monoids and arithmetical characterizations of class groups. Zbl 1309.20050
Baginski, Paul; Geroldinger, Alfred; Grynkiewicz, David J.; Philipp, Andreas
11
2013
The monotone catenary degree of Krull monoids. Zbl 1278.20079
Geroldinger, Alfred; Yuan, Pingzhi
7
2013
The set of distances in Krull monoids. Zbl 1255.13002
Geroldinger, Alfred; Yuan, Pingzhi
22
2012
On the Davenport constant and on the structure of extremal zero-sum free sequences. Zbl 1263.11038
Geroldinger, Alfred; Liebmann, Manfred; Philipp, Andreas
18
2012
Semigroup-theoretical characterizations of arithmetical invariants with applications to numerical monoids and Krull monoids. Zbl 1279.20072
Blanco, V.; García-Sánchez, P. A.; Geroldinger, A.
31
2011
The catenary degree of Krull monoids. I. Zbl 1253.11101
Geroldinger, Alfred; Grynkiewicz, David J.; Schmid, Wolfgang A.
27
2011
Zero-sum problems with congruence conditions. Zbl 1259.11020
Geroldinger, A.; Grynkiewicz, D. J.; Schmid, W. A.
19
2011
A quantitative aspect of non-unique factorizations: the Narkiewicz constants. Zbl 1230.20023
Gao, Weidong; Geroldinger, Alfred; Wang, Qinghong
5
2011
On the arithmetic of tame monoids with applications to Krull monoids and Mori domains. Zbl 1207.20055
Geroldinger, Alfred; Kainrath, Florian
31
2010
Inverse zero-sum problems. III. Zbl 1213.11178
Gao, Weidong; Geroldinger, Alfred; Grynkiewicz, David J.
30
2010
On the arithmetic of Krull monoids with infinite cyclic class group. Zbl 1208.13003
Geroldinger, 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 1474.20117
Blanco, Víctor; García-Sánchez, Pedro A.; Geroldinger, Alfred
1
2010
Additive group theory and non-unique factorizations. Zbl 1221.20045
Geroldinger, Alfred
98
2009
Combinatorial number theory and additive group theory. With a foreword by Javier Cilleruelo, Marc Noy and Oriol Serra (Coordinators of the DocCourse). Zbl 1177.11005
Geroldinger, Alfred; Ruzsa, Imre Z.
68
2009
On products of \(k\) atoms. Zbl 1184.20051
Gao, Weidong; Geroldinger, Alfred
37
2009
The critical number of finite abelian groups. Zbl 1214.11113
Freeze, Michael; Gao, Weidong; Geroldinger, Alfred
14
2009
On the arithmetic of Krull monoids with finite Davenport constant. Zbl 1196.20066
Geroldinger, Alfred; Grynkiewicz, David J.
13
2009
Group algebras of finite abelian groups and their applications to combinatorial problems. Zbl 1200.05254
Gao, Weidong; Geroldinger, Alfred; Halter-Koch, Franz
6
2009
On the structure of minimal zero-sum sequences with maximal cross number. Zbl 1263.11093
Geroldinger, Alfred; Grynkiewicz, David J.
3
2009
Local tameness of \(v\)-Noetherian monoids. Zbl 1133.20047
Geroldinger, Alfred; Hassler, Wolfgang
46
2008
Arithmetic of Mori domains and monoids. Zbl 1195.13022
Geroldinger, Alfred; Hassler, Wolfgang
24
2008
Unions of sets of lengths. Zbl 1228.20046
Freeze, Michael; Geroldinger, Alfred
15
2008
Zero-sum problems in finite abelian groups and affine caps. Zbl 1205.11028
Edel, Yves; Elsholtz, Christian; Geroldinger, Alfred; Kubertin, Silke; Rackham, Laurence
47
2007
Inverse zero-sum problems. Zbl 1188.11052
Gao, Weidong; Geroldinger, Alfred; Schmid, Wolfgang A.
20
2007
On the arithmetic of strongly primary monoids. Zbl 1143.20041
Geroldinger, Alfred; Hassler, Wolfgang; Lettl, Günter
10
2007
On the number of subsequences with given sum of sequences over finite abelian \(p\)-groups. Zbl 1141.11013
Gao, Weidong; Geroldinger, Alfred
6
2007
Non-unique factorizations. Algebraic, combinatorial and analytic theory. Zbl 1113.11002
Geroldinger, Alfred; Halter-Koch, Franz
370
2006
Zero-sum problems in finite Abelian groups: a survey. Zbl 1122.11013
Gao, Weidong; Geroldinger, Alfred
189
2006
Non-unique factorizations: a survey. Zbl 1117.13004
Geroldinger, Alfred; Halter-Koch, Franz
70
2006
Monotone chains of factorizations in C-monoids. Zbl 1095.20040
Foroutan, Andreas; Geroldinger, Alfred
13
2005
On zero-sum subsequences of restricted size. IV. Zbl 1090.11014
Chi, Rui; Ding, Shuyan; Gao, Weidong; Geroldinger, A.; Schmid, W. A.
11
2005
Transfer principles in the theory of non-unique factorizations. Zbl 1087.13002
Geroldinger, Alfred; Halter-Koch, Franz
6
2005
On a property of minimal zero-sum sequences and restricted sumsets. Zbl 1122.11012
Gao, Weidong; Geroldinger, Alfred
1
2005
Congruence monoids. Zbl 1057.13003
Geroldinger, Alfred; Halter-Koch, Franz
24
2004
On zero-sum sequences in \(\mathbb Z/n \mathbb Z \oplus \mathbb Z/n \mathbb Z\). Zbl 1078.11010
Gao, Weidong; Geroldinger, Alfred
12
2003
Zero-sum problems and coverings by proper cosets. Zbl 1026.20032
Gao, Weidong; Geroldinger, Alfred
11
2003
Half-factorial subsets in infinite abelian groups. Zbl 1095.13531
Geroldinger, Alfred; Göbel, Rüdiger
10
2003
Finitary monoids. Zbl 1043.20033
Geroldinger, Alfred; Halter-Koch, Franz; Hassler, Wolfgang; Kainrath, Florian
9
2003
Zero-sumfree sequences in cyclic groups and some arithmetical application. Zbl 1018.11011
Geroldinger, Alfred; Hamidoune, Yahya Ould
21
2002
On the order of elements in long minimal zero-sum sequences. Zbl 1017.20043
Gao, Weidong; Geroldinger, Alfred
6
2002
Tamely generated ideals in finitary monoids. Zbl 1066.20059
Geroldinger, Alfred; Halter-Koch, Franz
3
2002
Systems of sets of lengths. II. Zbl 1036.11054
Gao, W.; Geroldinger, A.
17
2000
An addition theorem and its arithmetical application. Zbl 1019.11002
Freiman, Gregory; Geroldinger, Alfred
8
2000
On long minimal zero sequences in finite abelian groups. Zbl 0980.11014
Gao, Weidong; Geroldinger, Alfred
34
1999
A structure theorem for sets of lengths. Zbl 0926.11082
Geroldinger, Alfred
14
1998
On the structure of zerofree sequences. Zbl 0968.11016
Gao, Weidong; Geroldinger, Alfred
14
1998
Half-factorial domains and half-factorial subsets of Abelian groups. Zbl 0994.20046
Gao, Weidong; Geroldinger, Alfred
8
1998
Krull domains and monoids, their sets of lengths, and associated combinatorial problems. Zbl 0897.13001
Chapman, Scott; Geroldinger, Alfred
36
1997
Chains of factorizations in weakly Krull domains. Zbl 0874.13001
Geroldinger, Alfred
11
1997
Chains of factorizations and sets of lengths. Zbl 0882.20039
Geroldinger, Alfred
9
1997
The catenary degree and tameness of factorizations in weakly Krull domains. Zbl 0897.13002
Geroldinger, Alfred
8
1997
On minimal zero sequences with large cross number. Zbl 0933.05150
Geroldinger, Alfred; Schneider, Rudolf
3
1997
Chains of factorizations in orders of global fields. Zbl 0874.11073
Geroldinger, Alfred
2
1997
On the structure and arithmetic of finitely primary monoids. Zbl 0879.20032
Geroldinger, A.
11
1996
The cross number of finite Abelian groups. III. Zbl 0848.20048
Geroldinger, Alfred; Schneider, Rudolf
7
1996
On cross numbers of minimal zero sequences. Zbl 0866.11018
Chapman, Scott T.; Geroldinger, Alfred
6
1996
On quasi divisor theories and systems of valuations. Zbl 0846.13002
Geroldinger, Alfred; Halter-Koch, Franz
1
1996
Non-unique factorizations in orders of global fields. Zbl 0812.11061
Geroldinger, Alfred; Halter-Koch, Franz; Kaczorowski, Jerzy
9
1995
Quasi-divisor theories and generalizations of Krull domains. Zbl 0853.13012
Geroldinger, Alfred; Močkoř, Jiří
8
1995
...and 23 more Documents
all top 5

Cited by 537 Authors

78 Geroldinger, Alfred
49 Chapman, Scott Thomas
43 Gao, Weidong
36 Schmid, Wolfgang Alexander
30 Zhong, Qinghai
27 Gotti, Felix
25 Grynkiewicz, David J.
25 Li, Yuanlin
25 O’Neill, Christopher
24 García Sánchez, Pedro A.
22 Baeth, Nicholas R.
19 Halter-Koch, Franz
19 Peng, Jiangtao
16 Yuan, Pingzhi
15 Smith, William W.
15 Wang, Guoqing
14 Qu, Yongke
14 Zeng, Xiangneng
13 Ordaz, Oscar
12 Han, Dongchun
11 Anderson, David Fenimore
11 Ponomarenko, Vadim
11 Tringali, Salvatore
10 Domokos, Mátyás
10 Hui, Wanzhen
10 Juett, Jason Robert
10 Reinhart, Andreas
10 Smertnig, Daniel
9 Adhikari, Sukumar Das
9 García García, Juan Ignacio
9 Girard, Benjamin
9 Thangadurai, Ravindranathan
8 Anderson, Daniel D.
8 Cziszter, Kálmán
8 Hassler, Wolfgang
8 Marchan, Luz Elimar
8 Oh, Jun-Seok
8 Philipp, Andreas
8 Polo, Harold
8 Rosales, José Carlos
8 Zhang, Hanbin
7 Fan, Yushuang
7 Gotti, Marly
7 Liu, Chao
7 Llena, David
7 Plagne, Alain
6 Baginski, Paul
6 Coykendall, James
6 Frisch, Sophie
6 Kainrath, Florian
6 Močkoř, Jiří
6 Moriya, B. K.
6 Pelayo, Roberto Carlos
6 Windisch, Daniel
5 Brochero Martínez, Fabio Enrique
5 Chang, Gyu Whan
5 Chintamani, Mohan N.
5 Deng, Guixin
5 Fadinger, Victor
5 Hamidoune, Yahya Ould
5 Lemos, Abílio
5 Li, Xue
5 Moreno-Frías, Maria Angeles
5 Nakato, Sarah
5 Radziejewski, Maciej
5 Ribas, Sávio
5 Zhao, Kevin
5 Zhuang, Jujuan
4 Blanco, Víctor
4 Freeze, Michael
4 Garcia, Stephan Ramon
4 Hong, Siao
4 Huang, Meiling
4 Kaczorowski, Jerzy
4 Kaplan, Nathan
4 Krause, Ulrich
4 Li, Bangzheng
4 Mooney, Christopher Park
4 Pardey, Johannes
4 Paul, Prabal
4 Rautenbach, Dieter
4 Rissner, Roswitha
4 Schaeffer, George J.
4 Yin, Qiuyu
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 Kontolatou, Angeliki
3 Lettl, Günter Hermann Alexander
3 Mazumdar, Eshita
3 Molla, Md Ibrahim
3 Okniński, Jan
3 Pollack, Paul
...and 437 more Authors
all top 5

Cited in 126 Serials

49 Communications in Algebra
41 Journal of Algebra
38 Journal of Number Theory
34 Semigroup Forum
32 Journal of Pure and Applied Algebra
29 Discrete Mathematics
27 International Journal of Number Theory
26 Journal of Combinatorial Theory. Series A
20 European Journal of Combinatorics
19 Journal of Algebra and its Applications
17 Integers
14 Israel Journal of Mathematics
14 Acta Arithmetica
14 Journal of Commutative Algebra
12 Archiv der Mathematik
10 The Electronic Journal of Combinatorics
9 Monatshefte für Mathematik
9 International Journal of Algebra and Computation
9 Journal de Théorie des Nombres de Bordeaux
8 Linear Algebra and its Applications
7 American Mathematical Monthly
7 Rocky Mountain Journal of Mathematics
7 Colloquium Mathematicum
7 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
6 Periodica Mathematica Hungarica
6 Proceedings of the American Mathematical Society
6 Acta Mathematica Hungarica
6 Forum Mathematicum
5 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
5 Czechoslovak Mathematical Journal
5 Mathematica Slovaca
5 Results in Mathematics
5 AIMS Mathematics
4 Transactions of the American Mathematical Society
4 The Ramanujan Journal
4 Communications of the Korean Mathematical Society
4 Journal of the Australian Mathematical Society
4 JP Journal of Algebra, Number Theory and Applications
4 Bollettino dell’Unione Matematica Italiana
3 Discrete Applied Mathematics
3 Advances in Mathematics
3 Functiones et Approximatio. Commentarii Mathematici
3 Manuscripta Mathematica
3 Mathematische Annalen
3 Pacific Journal of Mathematics
3 SIAM Journal on Discrete Mathematics
3 Designs, Codes and Cryptography
3 Algebras and Representation Theory
3 International Electronic Journal of Algebra (IEJA)
3 Actes des Rencontres du C.I.R.M.
2 Bulletin of the Australian Mathematical Society
2 Mathematics of Computation
2 Mathematics Magazine
2 Mathematische Zeitschrift
2 Ricerche di Matematica
2 Advances in Applied Mathematics
2 Combinatorica
2 Journal of Symbolic Computation
2 Revista Matemática Iberoamericana
2 Journal of the Ramanujan Mathematical Society
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 Arabian Journal of Mathematics
2 Moscow Journal of Combinatorics and Number Theory
1 Communications in Mathematical Physics
1 Information Processing Letters
1 Journal of Mathematical Analysis and Applications
1 Mathematical Proceedings of the Cambridge Philosophical Society
1 Ukrainian Mathematical Journal
1 Arkiv för Matematik
1 Algebra Universalis
1 Annales de l’Institut Fourier
1 Annali di Matematica Pura ed Applicata. Serie Quarta
1 Bulletin of the London Mathematical Society
1 Canadian Journal of Mathematics
1 Collectanea Mathematica
1 Glasgow Mathematical Journal
1 Illinois Journal of Mathematics
1 Journal of Graph Theory
1 Journal of the Korean Mathematical Society
1 Journal für die Reine und Angewandte Mathematik
1 Osaka Journal of Mathematics
1 Proceedings of the Edinburgh Mathematical Society. Series II
1 Quaestiones Mathematicae
1 Bulletin of the Korean Mathematical Society
1 Graphs and Combinatorics
1 Séminaire de Théorie des Nombres de Bordeaux. Deuxième Série
1 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
...and 26 more Serials

Citations by Year