A generalization of Kruyswijk-Olson theorem on Davenport constant in commutative semigroups

Let $\mathcal{S}$ be a finite commutative semigroup written additively. An element $e$ of $\mathcal{S}$ is said to be idempotent if $e+e=e$. The Erdős-Burgess constant of the semigroup $\mathcal{S}$ is defined as the smallest positive integer $\ell$ such that any $\mathcal{S}$-valued sequence $T$ of...

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Bibliographic Details
Main Author: Guoqing Wang
Format: Article
Language:English
Published: AIMS Press 2020-04-01
Series:AIMS Mathematics
Subjects:
Online Access:https://www.aimspress.com/article/10.3934/math.2020193/fulltext.html