Title | Coauthor(s) | Bibliographical information | local copies / link to published version / arXiv or
HAL |
---|---|---|---|
Which sets are sets of lengths in all
numerical monoids? |
A. Geroldinger |
submitted |
https://hal.archives-ouvertes.fr/hal-01700170 |
On congruence half-factorial Krull monoids
with cyclic class group |
A. Plagne |
submitted |
https://hal.archives-ouvertes.fr/hal-01580928 |
Systems of sets of lengths: transfer Krull
monoids vs. weakly Krull monoids |
A. Geroldinger, Q. Zhong |
In: "Rings, Polynomials, and Modules"
Springer 2017. Pages 191--235. |
https://hal.archives-ouvertes.fr/hal-01332417 |
A realization theorem for sets of lengths in numerical monoids | A. Geroldinger |
Forum Math., to appear |
https://hal.archives-ouvertes.fr/hal-01615120 |
A realization theorem for sets of distances |
A. Geroldinger |
J. Algebra 481, 188--198, 2017 |
https://hal.archives-ouvertes.fr/hal-01355253 |
A characterization of class groups via sets
of lengths |
A. Geroldinger |
submitted |
https://hal.archives-ouvertes.fr/hal-01131955 |
Some recent results and open problems on sets
of lengths of Krull monoids with finite class group |
In: "Multiplicative ideal theory and
factorization theory" Springer, Proc. Math. Stat. 170, 2016.
Pages 323--352. |
https://hal.archives-ouvertes.fr/hal-01233263 | |
Multi-wise and constrained
fully
weighted Davenport constants and interactions with coding
theory |
L. E. Marchan, O. Ordaz, I.
Santos |
J. Combin. Theory Ser. A 135,
237--267, 2015 |
http://hal.archives-ouvertes.fr/hal-01020156 |
The system of sets of lengths
in
Krull monoids under set addition |
A. Geroldinger | Rev. Mat. Iberoam. 32,
571--588, 2016 |
http://hal.archives-ouvertes.fr/hal-01020157 |
Local and global tameness in
Krull monoids |
W. D. Gao, A. Geroldinger |
Comm. Algebra 43, 262--296,
2015. |
http://hal.archives-ouvertes.fr/hal-00787681 |
Remarks on the plus-minus
weighted Davenport constant |
L. E. Marchan, O. Ordaz |
Int. J. Number Theory 10,
1219--1239, 2014 |
http://hal.archives-ouvertes.fr/hal-00835688 |
Some exact values of the
Harborth constant and its plus-minus weighted analogue |
L. E. Marchan, O. Ordaz, D.
Ramos |
Arch. Math. (Basel) 101, 501--512, 2013 | http://hal.archives-ouvertes.fr/hal-00851556 |
Some remarks on
barycentric-sum
problems over cyclic group |
A. Plagne, O.Ordaz |
European J. Combin. 34, 1415--1428, 2013 | http://hal.archives-ouvertes.fr/hal-00689464 |
On the Olson and the Strong
Davenport constants |
A. Philipp, O. Ordaz, I.
Santos |
J. Theor. Nombres Bordeaux,
23,
715--750, 2011. |
|
An application of coding
theory
to estimating Davenports constants |
A. Plagne |
Des. Codes Cryptogr., 61,
105--118, 2011. |
|
Zero-sum problems with
congruence conditions |
A. Geroldinger, D.J.Grynkiewicz | Acta Math. Hungar., 131,
323--345, 2011. |
|
Restricted inverse zero-sum
problems in groups of rank two. |
Q. J. Math., 63, 477--487,
2012. |
||
The catenary degree of Krull monoids I | A.Geroldinger, D.J.Grynkiewicz | J. Th\'eor. Nombres Bordeaux, 23, 137--169, 2011. |
pdf / arXiv:0911.4882 |
On the arithmetic of Krull monoids with infinite cyclic class group | A.Geroldinger, D.J.Grynkiewicz, G.J.Schaeffer | J. Pure Appl. Alg., 214:2219--2250, 2010 |
pdf / arXiv:0908.4191 |
Remarks on a generalization of the Davenport constant | M. Freeze | Discrete Math., 310:3373--3389, 2010 |
pdf / arXiv:0905.4248 |
The inverse problem associated to the Davenport constant
for C_2+C_2+C_2n, and applications to the arithmetical
characterization
of class groups |
Electron. J. Combin., 18, P33, 42pp, 2011. |
||
Higher-order class groups and block monoids of Krull monoids with torsion class group | J. Algebra Appl., 9:433--464, 2010 |
||
Inverse zero-sum problems II |
Acta Arith., 143:333--343, 2010 |
pdf / arXiv:0801.3747 |
|
Characterization of class groups of Krull monoids via their systems of sets of lengths: a status report | In: "Number Theory and Applications: Proceedings of the International Conferences on Number Theory and Cryptography (Eds. S.D.Adhikari and B.Ramakrishnan, HRI)", Hindustan Book Agency, 2009. Pages 189--212. | ||
Arithmetical characterization of class groups of the form $Z/n Z \oplus Z/nZ$ via the system of sets of lengths | Abh. Math. Sem. Hamburg, 79:25--35, 2009 |
pdf / SpringerLink: doi:10.1007/s12188-008-0010-z |
|
A realization theorem for sets of lengths | J. Number Theory, 129:990--999, 2009 | pdf / ScienceDirect (Elsevier): doi:10.1016/j.jnt.2008.10.019 |
|
On minimal distances in Krull monoids with infinite class group | S.T.Chapman, W.W.Smith | Bull. London Math. Soc., 40:613--618, 2008 | pdf / Free access link to final version at oxfordjournals.org |
Periods of sets of lengths: a quantitative result and an associated inverse problem | Colloq. Math., 113:33--53, 2008 | pdf / Colloquium Mathematicum |
|
Quasi half-factorial subsets of abelian torsion groups | S.T.Chapman, W.W.Smith | Houston J. Math., 35:13--22, 2009 | |
On short zero-sum subsequences over p-groups | J.J.Zhuang | Ars Combin., 95:343--352, 2010 |
|
Inverse zero-sum problems | W.D.Gao, A.Geroldinger | Acta Arith., 128:245-279, 2007 |
pdf / Acta Arithmetica |
On short zero-sum subsequences II | W.D.Gao, Q.H.Hou, R.Thangadurai | Integers, 7: A21, 22 pp. (electronic), 2007 | pdf / INTEGERS (a free journal) |
Weakly half-factorial sets in finite abelian groups | M.Radziejewski | Forum Math., 19:727--747, 2007 | pdf / atypon-link (Walter de Gruyter): doi:10.1515/FORUM.2007.028 |
Minimal zero-sum sequences in $C_n\oplus C_n$ | G.Lettl | European J. Combin., 28:742--753, 2007. | pdf / ScienceDirect (Elsevier): doi:10.1016/j.ejc.2005.12.008 |
On the set of integral solutions of the Pell equation in number fields | Aequationes Math., 71:109--114, 2006 | pdf / SpringerLink: doi:10.1007/s00010-005-2782-x |
|
Half-factorial sets in elementary $p$-groups | Far East J. Math. Sci. (FJMS), 22:75--114, 2006 | ||
Half-factorial sets in finite abelian groups: a survey | Grazer Math. Ber., 348:41--64, 2005 | ||
On the maximal cardinality of half-factorial sets in cyclic groups | A.Plagne | Math. Ann., 333:759--785, 2005 | pdf / SpringerLink: doi:10.1007/s00208-005-0690-y |
On invariants related to non-unique factorizations in block monoids and rings of integers | Math. Slovaca, 55:21--37, 2005 | ||
On large half-factorial sets in elementary $p$-groups: Maximal cardinality and structural characterization | A.Plagne | Israel J. Math., 145:285--310, 2005 | |
On the asymptotic behavior of some counting functions, II | Colloq. Math., 102:197--216, 2005. | pdf / Colloquium Mathematicum |
|
On the asymptotic behavior of some counting functions | M.Radziejewski | Colloq. Math., 102:181--195, 2005. | pdf / Colloquium Mathematicum |
On zero-sum subsequences of restricted size IV | R.Chi, S.Ding, W.Gao, A.Geroldinger | Acta. Math. Hungar., 107:337--344, 2005. | pdf / SpringerLink: doi:10.1007/s10474-005-0201-3 |
Differences in sets of lengths of Krull monoids with finite class group | J. Th\'eor. Nombres Bordeaux, 17:323--345, 2005. | pdf / Journal de Th\'eorie des Nombres de Bordeaux |
|
Arithmetic of block monoids | Math. Slovaca, 54:503--526, 2004 | ||
On the dual of an ideal and ideal transforms | A.Foroutan, F.Halter-Koch | Bull. Greek Math. Soc., 48:19--40, 2003. | pdf (scan) |
On zero-sum subsequences in finite abelian groups | Integers, 1:A1, 8 pp. (electronic), 2001. | pdf / INTEGERS (a free journal) |