On transfer homomorphisms of Krull monoids

2021/04/28 by Geroldinger, Alfred, Kainrath, Florian · 2 citations
#13A15 #13F05 #16D70 #20M12 #20M13 #Commutative Algebra (math.AC) #FOS: Mathematics

paper · doi:10.48550/arxiv.2104.13788

Abstract

Every Krull monoid has a transfer homomorphism onto a monoid of zero-sum sequences over a subset of its class group. This transfer homomorphism is a crucial tool for studying the arithmetic of Krull monoids. In the present paper, we strengthen and refine this tool for Krull monoids with finitely generated class group.

Cited by

• The Bi-UF Positive Conjecture for quadratic monogenic semirings and related progress
• A note on the number of distinct elements and zero-sum subsequence lengths in cyclic groups

Related

• On transfer homomorphisms in commutative rings with zero-divisors
• A characterization of transfer Krull orders in Dedekind domains with torsion class group
• Systems of sets of lengths: Transfer Krull monoids versus weakly Krull monoids
• On transfer Krull monoids
• Puiseux monoids and transfer homomorphisms