A unifying look at zero-sum invariants

作者:Gao, Weidong*; Li, Yuanlin; Peng, Jiangtao; Wang, Guoqing
来源:International Journal of Number Theory, 2018, 14(3): 705-711.
DOI:10.1142/S1793042118500446

摘要

The purpose of the paper is to provide a unified way to formulate zero-sum invariants. Let G be a finite additive abelian group. Let B(G) denote the monoid of all zero-sum sequences over G. For Omega subset of B(G), let d(Omega)(G) be the smallest integer t such that every sequence S over G of length vertical bar S vertical bar >= t has a subsequence in Omega. We provide some first results and open problems on d(Omega)(G).