On integral domains with no atoms
type: Item
instance of: scholarly article
title: On integral domains with no atoms
zbMATH Open document ID: 0990.13015
DOI: 10.1080/00927879908826792
author: Jim Coykendall
author: David E. Dobbs
author: Bernadette Mullins
published in: Communications in Algebra
publication date: 2002-08-20T00:00:00Z
Mathematics Subject Classification ID: 13G05
Mathematics Subject Classification ID: 13A05
zbMATH DE Number: 1389610
zbMATH Keywords: integral domain
zbMATH Keywords: antimatter domain
zbMATH Keywords: overring extension
zbMATH Keywords: valuation domains
zbMATH Keywords: pullbacks
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1080/00927879908826792
OpenAlex ID: W1997105022
cites work: Factorization in integral domains
cites work: Cohen-Kaplansky domains: Integral domains with a finite number of irreducible elements
cites work: Pairs of Rings with the Same Prime Ideals
cites work: Remarks on pseudo-valuation rings
cites work: Topologically defined classes of commutative rings
cites work: Q5661989
cites work: Pseudo-valuation domains
cites work: The spectrum of a ring as a partially ordered set
cites work: Convex Directed Subgroups of a Group of Divisibility
cites work: Semi-Valuations and Groups of Divisibility
Recommended article: Atoms in quasilocal integral domains and Cohen–Kaplansky domains
Recommended article: Atoms and singular integrals on complex domains
Recommended article: On linearly compact integral domains
Recommended article: On piecewise Noetherian domains
Recommended article: Integral domains finite over each underring
Recommended article: Compact integral domains
Recommended article: Integral Domains Having Nonzero Elements with Infinitely Many Prime Divisors
Recommended article: Lobal Properties of Integral Domains
Recommended article: Q4309320
Recommended article: On domains with regular sections
description: scientific article; zbMATH DE number 1389610