English

On a zero-sum problem arising from factorization theory

Combinatorics 2020-07-21 v1 Commutative Algebra Number Theory

Abstract

We study a zero-sum problem dealing with minimal zero-sum sequences of maximal length over finite abelian groups. A positive answer to this problem yields a structural description of sets of lengths with maximal elasticity in transfer Krull monoids over finite abelian groups.

Keywords

Cite

@article{arxiv.2007.10094,
  title  = {On a zero-sum problem arising from factorization theory},
  author = {Aqsa Bashir and Alfred Geroldinger and Qinghai Zhong},
  journal= {arXiv preprint arXiv:2007.10094},
  year   = {2020}
}