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:
Article
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
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author Geroldinger, Alfred
Kainrath, Florian
author_facet Geroldinger, Alfred
Kainrath, Florian
author_sort Geroldinger, Alfred
collection PubMed
description 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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spelling pubmed-85505712021-11-10 On transfer homomorphisms of Krull monoids Geroldinger, Alfred Kainrath, Florian Boll Unione Mat Ital (2008) Article 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. Springer International Publishing 2021-06-28 2021 /pmc/articles/PMC8550571/ /pubmed/34777700 http://dx.doi.org/10.1007/s40574-021-00301-9 Text en © The Author(s) 2021, corrected publication 2021 https://creativecommons.org/licenses/by/4.0/Open AccessThis article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/ (https://creativecommons.org/licenses/by/4.0/) .
spellingShingle Article
Geroldinger, Alfred
Kainrath, Florian
On transfer homomorphisms of Krull monoids
title On transfer homomorphisms of Krull monoids
title_full On transfer homomorphisms of Krull monoids
title_fullStr On transfer homomorphisms of Krull monoids
title_full_unstemmed On transfer homomorphisms of Krull monoids
title_short On transfer homomorphisms of Krull monoids
title_sort on transfer homomorphisms of krull monoids
topic Article
url 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
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