On a zero-sum problem arising from factorization theory

2020/07/20 by Aqsa Bashir, Bashir, Aqsa, Alfred Geroldinger +3 · 1 citation
Computer Science · Mathematics · #11B75 #11P70 #13A05 #20M13 #Advanced Topology and Set Theory #Combinatorics (math.CO) #Commutative Algebra (math.AC) #FOS: Mathematics #Number Theory (math.NT) #Rings, Modules, and Algebras #semigroups and automata theory

paper · pdf · doi:10.48550/arxiv.2007.10094

openalex publication_date 2020/07/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Cited by

• On the structure of length sets with maximal elasticity
• A reciprocity on finite abelian groups involving zero-sum sequences

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