Arithmetical characterizations of divisor class groups
type: Item
instance of: scholarly article
title: Arithmetical characterizations of divisor class groups
zbMATH Open document ID: 0703.20059
DOI: 10.1007/BF01188673
author: Alfred Geroldinger
published in: Archiv der Mathematik
publication date: 1990-01-01T00:00:00Z
review text: The author deals with factorizations into irreducibles in semigroups with divisor theory, of which the classical example is the multiplicative semigroup of integers in an algebraic number field. Assuming that every divisor class contains at least one prime divisor the author characterizes finite cyclic class groups (as well as some other groups) in terms of certain factorization properties.
Mathematics Subject Classification ID: 20M14
Mathematics Subject Classification ID: 11R27
zbMATH DE Number: 4152722
zbMATH Keywords: factorizations
zbMATH Keywords: irreducibles
zbMATH Keywords: semigroups with divisor theory
zbMATH Keywords: prime divisor
zbMATH Keywords: class groups
reviewed by: Władysław Narkiewicz
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 4152722