The \(w\)-integral closure of integral domains

DOI10.1016/j.jalgebra.2005.04.025zbMath1096.13008OpenAlexW2026437546MaRDI QIDQ2576981

Gyu Whan Chang, Muhammad Zafrullah

Publication date: 29 December 2005

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2005.04.025

zbMATH Keywords

\(t\)-ideal\(w\)-operationPrüfer domain, integral closure, strong Mori domain

Mathematics Subject Classification ID

Integral closure of commutative rings and ideals (13B22) Integral domains (13G05) Ideals and multiplicative ideal theory in commutative rings (13A15)

Related Items (19)

KRONECKER FUNCTION RINGS AND PRÜFER-LIKE DOMAINS ⋮ PrÜfer-Like Domains and the Nagata Ring of Integral Domains ⋮ Valuation ideals and primary \(w\)-ideals ⋮ Graded integral domains which are UMT-domains ⋮ Graded almost pseudo-valuation domains ⋮ The finitely presented torsion-free SG-projective modules are not necessarily projective ⋮ Module-Theoretic Characterizations oft-Linkative Domains ⋮ UMT-domains: A Survey ⋮ Star stability and star regularity for Mori domains ⋮ ES-w-stability ⋮ Prüfer *-multiplication domains, Nagata rings, and Kronecker function rings ⋮ Two Extensions of a Star Operation on D to the Polynomial Ring D[X] ⋮ On Quasi-Prüfer and UMtDomains ⋮ \(\ast\)-Noetherian domains and the ring \(D[x_N\)] ⋮ Uppers to Zero in Polynomial Rings and Prüfer-Like Domains ⋮ Constituent groups of Clifford semigroups arising from \(t\)-closure ⋮ Integral Domains in which Every Nonzerot-Locally Principal Ideal ist-Invertible ⋮ ON ALMOST PSEUDO-VALUATION DOMAINS, II ⋮ Stability and Clifford Regularity with Respect to Star Operations

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• On t-linked overrings
• t-Linked Overrings of Noetherian Weakly Factorial Domains
• Pseudo-Integrality
• wDimension of domains
• Umt-domains and domains with prüfer integral closure
• Two star-operations and their induced lattices
• Some Remarks on Pseudo-Krull Domains#

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