Star operations on Prüfer \(v\)-multiplication domains

DOI10.1216/JCA-2015-7-4-523zbMath1329.13003OpenAlexW2292254285MaRDI QIDQ906298

Gyu Whan Chang

Publication date: 21 January 2016

Published in: Journal of Commutative Algebra (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.jca/1453211672

zbMATH Keywords

star operationintegrally closed domainP\(v\)MD\(D[X_{N_{v}}\)]\(w\)-operation

Mathematics Subject Classification ID

Integral domains (13G05) Ideals and multiplicative ideal theory in commutative rings (13A15)

Related Items (1)

Integral domains and the IDF property

Cites Work

• Unnamed Item
• On the converse of a well-known fact about Krull domains
• Prüfer v-multiplication domains and the ring \(R[X_{N_ v}\)]
• Integral domains in which each t-ideal is divisorial
• Some remarks on star-operations
• \(w\)-divisorial domains
• Strong Mori domains and the ring \(D[{\mathbf X}_{N_v}\)]
• Polynomial extensions of semistar operations
• Prüfer *-multiplication domains, Nagata rings, and Kronecker function rings
• \(\ast\)-Noetherian domains and the ring \(D[x_N\)]
• Integral Domains Which Admit at Most Two Star Operations
• On t-invertibility II
• Characterizations of ^*-Multiplication Domains
• When the Semistar Operation is the Identity
• w-Divisoriality in Polynomial Rings
• M-Canonical ideals in integral domains
• Nagata Rings, Kronecker Function Rings, and Related Semistar Operations
• PRÜFER ⋆-MULTIPLICATION DOMAINS AND SEMISTAR OPERATIONS
• Two star-operations and their induced lattices
• Integral Domains in Which Each Ideal Is aW-Ideal
• Integrally Closed Domains with Only Finitely Many Star Operations
• Integral domains in which each non‐zero ideal is divisorial

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