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A characterization of finite abelian groups via sets of lengths in transfer Krull monoids

Let H be a transfer Krull monoid over a finite abelian group G (for example, rings of integers, holomorphy rings in algebraic function fields, and regular congruence monoids in these domains). Then each nonunit a∈H can be written as a product of irreducible elements, say [Image: see text] , and the...

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Detalles Bibliográficos
Autor principal: Zhong, Qinghai
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Taylor & Francis 2018
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6033532/
https://www.ncbi.nlm.nih.gov/pubmed/30022893
http://dx.doi.org/10.1080/00927872.2018.1430811