Atoms in quasilocal integral domains and Cohen–Kaplansky domains
type: Item
instance of: scholarly article
title: Atoms in quasilocal integral domains and Cohen–Kaplansky domains
zbMATH Open document ID: 1464.13017
DOI: 10.1142/S0219498821501103
author: Kevin W. Bombardier
author: D. D. Anderson
publication date: 2021-07-01T00:00:00Z
full work available at URL: https://arxiv.org/abs/1810.02922
Mathematics Subject Classification ID: 13F15
Mathematics Subject Classification ID: 13F25
zbMATH DE Number: 7365692
zbMATH Keywords: quasilocal domain
zbMATH Keywords: irreducible element
zbMATH Keywords: atom
zbMATH Keywords: atomic domain
zbMATH Keywords: Cohen-Kaplansky domain
MaRDI profile type: Publication
arXiv ID: 1810.02922
cites work: Q4184971
cites work: Factorization in integral domains
cites work: Elasticity of factorizations in integral domains
cites work: Long length functions
cites work: Cohen-Kaplansky domains: Integral domains with a finite number of irreducible elements
cites work: Finite factorization domains
cites work: The Euclidean Criterion for Irreducibles
cites work: The number of atoms in a primefree atomic domain
cites work: Rings With a Finite Number of Primes. I
cites work: On integral domains with no atoms
cites work: Cohen-Kaplansky domains and the Goldbach conjecture
cites work: Finitely generated groups of divisibility
cites work: Q4773810
cites work: Primary decomposition of divisorial ideals in Mori domains
cites work: A Note on Finite Unions of Ideals and Subgroups
OpenAlex ID: W3011202584
published in: Journal of Algebra and its Applications
description: scientific article; zbMATH DE number 7365692