On transfer homomorphisms of Krull monoids
Alfred Geroldinger, Florian Kainrath
TL;DR
This paper enhances the transfer homomorphism technique for Krull monoids with finitely generated class groups, improving the understanding of their arithmetic properties.
Contribution
It strengthens and refines the transfer homomorphism method specifically for Krull monoids with finitely generated class groups.
Findings
Improved transfer homomorphism for finitely generated class groups
Enhanced understanding of Krull monoid arithmetic
Refined tools for algebraic structure analysis
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.
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