Integral Domains Having Nonzero Elements with Infinitely Many Prime Divisors

DOI10.1080/00927870601041474zbMath1121.13005OpenAlexW1977516387MaRDI QIDQ3446635

Coykendall, Jim, Tiberiu Dumitrescu

Publication date: 19 June 2007

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927870601041474

zbMATH Keywords

UFDintegral domainpullbackintegral closureprime divisorprincipal prime

Mathematics Subject Classification ID

Integral closure of commutative rings and ideals (13B22) Integral domains (13G05) Ideals and multiplicative ideal theory in commutative rings (13A15) Dedekind, Prüfer, Krull and Mori rings and their generalizations (13F05)

Related Items (1)

Rings of finite rank and finitely generated ideals

Cites Work

• Unnamed Item
• Factorization in integral domains
• Couples d'anneaux partageant un idéal. (Couples of rings sharing an ideal)
• Irreducible divisors in domains of finite character
• The construction \(D+XD_s[X\)]
• A localization of a power series ring over a valuation domain
• Expansions of prime ideals
• Non-openness of loci in Noetherian rings
• LCM-splitting sets in some ring extensions
• t-Linked overrings and prüfer v-multiplication domains
• On t-linked overrings
• Pseudo-Integrality

This page was built for publication: Integral Domains Having Nonzero Elements with Infinitely Many Prime Divisors