Factorization in integral domains
type: Item
instance of: scholarly article
title: Factorization in integral domains
zbMATH Open document ID: 0727.13007
DOI: 10.1016/0022-4049(90)90074-R
author: David F. Anderson
author: Muhammad Zafrullah
author: D. D. Anderson
published in: Journal of Pure and Applied Algebra
publication date: 1990-01-01T00:00:00Z
review text: Les AA. appellent ``atomique'' un anneau intègre R dans lequel tout élément est produit fini des éléments irréducibles. Sont étudiés les anneaux atomiques et les anneaux intègres avec la condition maximale pour les idéaux principaux, les anneaux atomique dans lesquels pour tout élément x non nul et non inversible il existe N(x) tel que pour toute décomposition \(x=x_ 1...x_ n\), où \(x_ i\) sont irréducibles, on a \(n\leq N(x)\), les anneaux intégres dans lesquels tout élément non nul a un nombre fini des diviseurs nonassociés, etc.
reviewed by: Nicolae Radu
Mathematics Subject Classification ID: 13F15
Mathematics Subject Classification ID: 13G05
zbMATH DE Number: 4200353
zbMATH Keywords: integral domain
zbMATH Keywords: atomic ring
zbMATH Keywords: factorization
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 4200353