On the Davenport constant and on the structure of extremal zero-sum free sequences
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Publication:452839
DOI10.1007/s10998-012-3378-6zbMath1263.11038arXiv1009.5835OpenAlexW2119239196MaRDI QIDQ452839
Alfred Geroldinger, Manfred Liebmann, Andreas Philipp
Publication date: 17 September 2012
Published in: Periodica Mathematica Hungarica (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1009.5835
Other combinatorial number theory (11B75) Finite abelian groups (20K01) Inverse problems of additive number theory, including sumsets (11P70)
Related Items (18)
Lower bound for the Erdős-Burgess constant of finite commutative rings ⋮ A generalization of Kruyswijk-Olson theorem on Davenport constant in commutative semigroups ⋮ On a Zero-Sum Problem Arising From Factorization Theory ⋮ An asymptotically tight bound for the Davenport constant ⋮ Products of \(k\) atoms in Krull monoids ⋮ Erdős-Burgess constant in commutative rings ⋮ Erdős-Burgess constant of commutative semigroups ⋮ Zero-sum problems with congruence conditions ⋮ On the Olson and the strong Davenport constants ⋮ Products of two atoms in Krull monoids and arithmetical characterizations of class groups. ⋮ On the lower bounds of Davenport constant ⋮ The Interplay of Invariant Theory with Multiplicative Ideal Theory and with Arithmetic Combinatorics ⋮ New upper bounds for the Davenport and for the Erdős-Ginzburg-Ziv constants ⋮ A semigroup-theoretical view of direct-sum decompositions and associated combinatorial problems ⋮ Local and Global Tameness in Krull Monoids ⋮ \(G\)-character varieties for \(G =\mathrm{SO}(n,\mathbb{C})\) and other not simply connected groups ⋮ A characterization of arithmetical invariants by the monoid of relations. II: The monotone catenary degree and applications to semigroup rings. ⋮ Remarks on the plus–minus weighted Davenport constant
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