On the Davenport constant of a two-dimensional box $\left[\kern-0.15em\left[ { - 1,1} \right]\kern-0.15em\right] \times \left[\kern-0.15em\left[ { - m,n} \right]\kern-0.15em\right]$

On the Davenport constant of a two-dimensional box $\left[\kern-0.15em\left[ { - 1,1} \right]\kern-0.15em\right] \times \left[\kern-0.15em\left[ { - m,n} \right]\kern-0.15em\right]$

Let $G$ be an abelian group and $X$ be a nonempty subset of $G$. A sequence $S$ over $X$ is called zero-sum if the sum of all terms of $S$ is zero. A nonempty zero-sum sequence $S$ is called minimal zero-sum if all nonempty proper subsequences of $S$ are not zero-sum. The Davenport constant of $X$,...

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Bibliographic Details
Main Author: Guixin Deng
Format: Article
Language:English
Published: AIMS Press 2021-11-01
Series:AIMS Mathematics
Subjects:
zero-sum
minimal zero-sum
davenport constant
Online Access:https://www.aimspress.com/article/10.3934/math.2021066/fulltext.html

Internet

https://www.aimspress.com/article/10.3934/math.2021066/fulltext.html

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