Some characterizations of Krull domains

DOI10.1016/j.jpaa.2006.01.002zbMath1105.13004OpenAlexW2051496412MaRDI QIDQ856353

Young Soo Park, Hwankoo Kim

Publication date: 7 December 2006

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jpaa.2006.01.002

zbMATH Keywords

UFD\(t\)-ideal\(t\)-operation\(*\)-ideal\(*\)-operation\(\pi\)-domain\(t\)-prime ideal\(v\)-ideal\(v\)-operation

Mathematics Subject Classification ID

Integral domains (13G05) Ideals and multiplicative ideal theory in commutative rings (13A15) Commutative rings defined by factorization properties (e.g., atomic, factorial, half-factorial) (13F15)

Related Items (1)

Invertibility, Semistar Operations, and the Ring of Finite Fractions

Cites Work

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• On the converse of a well-known fact about Krull domains
• Euclidean-like characterizations of Dedekind, Krull, and factorial domains
• π-domains, overrings, and divisorial ideals
• FACTORABLE DOMAINS
• Factorial domains
• Two Criteria for Dedekind Domains
• Quasi-Invertible Prime Ideals
• Semistar Invertibility on Integral Domains

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