Integral closure of a ring whose regular ideals are finitely generated

DOI10.1006/JABR.2000.8596zbMath1005.13001OpenAlexW1976667869MaRDI QIDQ1851327

Byung Gyun Kang, Gyu Whan Chang

Publication date: 16 December 2002

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

Full work available at URL: https://doi.org/10.1006/jabr.2000.8596

zbMATH Keywords

integral closureKrull ringfinitely generated ideal

Mathematics Subject Classification ID

Integral closure of commutative rings and ideals (13B22) Commutative rings and modules of finite generation or presentation; number of generators (13E15)

Related Items (6)

The monoid of regular elements in commutative rings with zero divisors ⋮ Prüfer rings in a certain pullback ⋮ \(\tau\)-regular factorization in commutative rings with zero-divisors ⋮ The completion and Krull’s generalized principal ideal theorem on r-Noetherian rings ⋮ Integral Closure of Graded Integral Domains ⋮ Noetherian extensions of commutative rings

Cites Work

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• Quotient rings of polynomial rings
• Krull rings
• Integral closure of rings with zero divisors
• Characterizations of Krull rings with zero divisors
• Maximal Ideal Transforms of Noetherian Rings
• A Note on Minimal Prime Ideals

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