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On transfer homomorphisms of Krull monoids

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 gen...

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Detalles Bibliográficos
Autores principales: Geroldinger, Alfred, Kainrath, Florian
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2021
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8550571/
https://www.ncbi.nlm.nih.gov/pubmed/34777700
http://dx.doi.org/10.1007/s40574-021-00301-9
Descripción
Sumario: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.