A unifying look at zero-sum invariants-Reference-Cited by-同舟云学术

A unifying look at zero-sum invariants

Published:2018-03-25 Issue:03 Volume:14 Page:705-711
ISSN:1793-0421
Container-title:International Journal of Number Theory
language:en
Short-container-title:Int. J. Number Theory

Author:

Gao Weidong¹,Li Yuanlin²,Peng Jiangtao³,Wang Guoqing⁴

Affiliation:

1. Center for Combinatorics and LPMC-TJKLC, Nankai University, Tianjin 300071, P. R. China

2. Department of Mathematics, Brock University, St. Catharines, Ontario L2S 3A1, Canada

3. College of Science, Civil Aviation University of China, Tianjin 300300, P. R. China

4. Department of Mathematics, Tianjin Polytechnic University, Tianjin 300387, P. R. China

Abstract

The purpose of the paper is to provide a unified way to formulate zero-sum invariants. Let [Formula: see text] be a finite additive abelian group. Let [Formula: see text] denote the monoid of all zero-sum sequences over [Formula: see text]. For [Formula: see text], let [Formula: see text] be the smallest integer [Formula: see text] such that every sequence [Formula: see text] over [Formula: see text] of length [Formula: see text] has a subsequence in [Formula: see text]. We provide some first results and open problems on [Formula: see text].

Publisher

World Scientific Pub Co Pte Lt

Subject

Algebra and Number Theory

Link

https://www.worldscientific.com/doi/pdf/10.1142/S1793042118500446

Reference13 articles.

1. The Interplay of Invariant Theory with Multiplicative Ideal Theory and with Arithmetic Combinatorics

2. Remarks on a generalization of the Davenport constant

3. Zero-sum problems in finite abelian groups: A survey

4. On additive bases II

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