Davenport constant for semigroups. II.

DOI10.1016/j.jnt.2015.01.007zbMath1333.20057arXiv1409.2077OpenAlexW2040420560MaRDI QIDQ2344343

Guoqing Wang

Publication date: 13 May 2015

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1409.2077

zbMATH Keywords

polynomial ringsunit groupsDavenport constantzero-sum sequencesmultiplicative semigroups of ringsfinite commutative semigroups

Mathematics Subject Classification ID

Commutative semigroups (20M14) Other combinatorial number theory (11B75) Semigroup rings, multiplicative semigroups of rings (20M25) Sequences (mod (m)) (11B50)

Related Items (11)

Lower bound for the Erdős-Burgess constant of finite commutative rings ⋮ A generalization of Kruyswijk-Olson theorem on Davenport constant in commutative semigroups ⋮ Davenport constant for commutative rings ⋮ Erdős-Burgess constant in commutative rings ⋮ Additively irreducible sequences in commutative semigroups ⋮ Erdős-Burgess constant of commutative semigroups ⋮ On the algebraic and arithmetic structure of the monoid of product-one sequences ⋮ Correction to: ``Davenport constant for semigroups ⋮ The Erdős–Burgess constant of the multiplicative semigroup of a factor ring of 𝔽q[x] ⋮ Structure of the largest idempotent-product free sequences in semigroups ⋮ Structure of long idempotent-sum-free sequences over finite cyclic semigroups

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• Note on the Davenport constant of the multiplicative semigroup of the quotient ring 𝔽p[x 〈f(x)〉]

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