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Factorization in Krull monoids with infinite class group

1999/01/01 by Florian Kainrath · 1 citation
Mathematics · Neuroscience · #Axon Guidance and Neuronal Signaling #Commutative Algebra and Its Applications #Rings, Modules, and Algebras

paper · pdf · doi:10.4064/cm-80-1-23-30

crossref issued 1999/01/01 · crossref published 1999/01/01 · crossref published-online 1999/01/01 · openalex publication_date 1999/01/01 · crossref created 2017/09/29 · crossref deposited 2017/09/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/03 · crossref indexed 2026/08/03

Abstract

Let H be a Krull monoid with infinite class group and such that each divisor class of H contains a prime divisor. We show that for each finite set L of integers ≥2 there exists some h ∈ H such that the following are equivalent: (i) h has a representation

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