Some questions about pruferv—multiplication domains

DOI10.1080/00927878908823744zbMath0674.13001OpenAlexW2022161194MaRDI QIDQ3828101

Byung Gyun Kang

Publication date: 1989

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

Full work available at URL: https://doi.org/10.1080/00927878908823744

zbMATH Keywords

GCD-domainBezout domainPVMDPF-prime ideals

Mathematics Subject Classification ID

Integral domains (13G05) Dedekind, Prüfer, Krull and Mori rings and their generalizations (13F05) Divisibility and factorizations in commutative rings (13A05)

Related Items (10)

A classification of the integrally closed rings of polynomials containing \(Z[X\)] ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Kronecker function rings and power series rings ⋮ A characterization of Prüfer \(v\)-multiplication domains in terms of linear equations ⋮ \(\star\)-super potent domains ⋮ Integer-valued polynomials and Prüfer \(v\)-multiplication domains ⋮ Constituent groups of Clifford semigroups arising from \(t\)-closure ⋮ Unique factorization property of non-unique factorization domains ⋮ Divisorial prime ideals of int(D) when D is a krull-type domain

Cites Work

• Idéaux divisoriels d'un anneau de polynômes
• Some remarks on star-operations
• On Pruefer v-multiplication domains
• The construction \(D+XD_s[X\)]
• Characterizations of ^*-Multiplication Domains
• Some Results on v-Multiplication Rings
• Integral domains in which each non‐zero ideal is divisorial
• On the Ideal Theory of the Kronecker Function Ring and the Domain D(X)
• Prime Ideals in GCD-Domains

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