On transfer homomorphisms of Krull monoids

Boll Unione Mat Ital (2008). 2021;14(4):629-646. doi: 10.1007/s40574-021-00301-9. Epub 2021 Jun 28.

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.

Keywords: Class groups; Krull monoids; Transfer Krull monoids; Transfer homomorphisms.