On t-linked overrings

DOI10.1080/00927879208824414zbMath0791.13005OpenAlexW2111679053MaRDI QIDQ4005847

Muhammad Zafrullah, Moshe Roitman, Thomas G. Lucas, David E. Dobbs, Evan G. jun. Houston

Publication date: 27 September 1992

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

Full work available at URL: https://doi.org/10.1080/00927879208824414

zbMATH Keywords

Prüfer domainintegral closure\(t\)-linked overrings

Mathematics Subject Classification ID

Linkage, complete intersections and determinantal ideals (13C40) Integral closure of commutative rings and ideals (13B22) Ideals and multiplicative ideal theory in commutative rings (13A15)

Related Items (33)

Semistar Linkedness and Flatness, Prüfer Semistar Multiplication Domains ⋮ GENERALLY t-LINKATIVE DOMAINS ⋮ \(t\)-linked extensions, the \(t\)-class group, and Nagata's theorem ⋮ Integral Domains Having Nonzero Elements with Infinitely Many Prime Divisors ⋮ Ring-Theoretic Properties of PvMDs ⋮ RATLIFF–RUSH CLOSURE OF IDEALS IN INTEGRAL DOMAINS ⋮ Module-Theoretic Characterizations of Generalized GCD Domains ⋮ Unnamed Item ⋮ Star stable domains ⋮ Graded integral domains which are UMT-domains ⋮ Almost principal ideals in \(\mathrm R[x\)] ⋮ Flat ideals and stability in integral domains ⋮ Trace properties and the rings \(R(x)\) and \(R\langle x\rangle\) ⋮ Module-Theoretic Characterizations oft-Linkative Domains ⋮ When the Semistar Operation is the Identity ⋮ On \(t\)-dimension over strong Mori domains ⋮ On the cardinality of stable star operations of finite type on an integral domain ⋮ THE v-OPERATION IN EXTENSIONS OF INTEGRAL DOMAINS ⋮ Integral domains in which any two \(v\)-coprime elements are comaximal ⋮ Note on Star Operations Over Polynomial Rings ⋮ w-DIMENSION OF DOMAINS. II ⋮ On Quasi-Prüfer and UMtDomains ⋮ Umt-domains and domains with prüfer integral closure ⋮ LCM-splitting sets in some ring extensions ⋮ Unnamed Item ⋮ Star operations in extensions of integral domains ⋮ Unnamed Item ⋮ On the set of \(t\)-linked overrings of an integral domain ⋮ Uppers to Zero in Polynomial Rings and Prüfer-Like Domains ⋮ w-Divisoriality in Polynomial Rings ⋮ w-Stability and Cliffordw-Regularity of Polynomial Rings ⋮ The \(w\)-integral closure of integral domains ⋮ wDimension of domains

Cites Work

• Unnamed Item
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• \(D+M\) constructions with general overrings
• Prestable ideals
• Associated primes of principal idelals
• Overrings and divisorial ideals of rings of the form \(D+M\)
• t-Linked overrings and prüfer v-multiplication domains
• On t-invertibility II
• Some finiteness and divisibility conditions on the proper overrings of an integral domain
• A lifting approach to v- and t-ideals
• Pairs of Rings with the Same Prime Ideals, II
• On Inc-Extensions and Polynomials with Unit Content
• Pairs of Rings with the Same Prime Ideals
• Unruly Hilbert Domains
• On Going Down For Simple Overrings II
• On seminormality

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