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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Format: | Article |
Language: | English |
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AIMS Press
2020-04-01
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Series: | AIMS Mathematics |
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Online Access: | https://www.aimspress.com/article/10.3934/math.2020193/fulltext.html |