Anneauxt-clos

DOI10.1080/00927879508825364zbMath0857.13021OpenAlexW1970103433MaRDI QIDQ4834931

Martine Picavet-L'Hermitte, Gabriel Picavet

Publication date: 11 March 1997

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

Full work available at URL: https://doi.org/10.1080/00927879508825364

zbMATH Keywords

integral domainsquasinormalseminormalweak Baer rings\(t\)-closed rings\(u\)-closedness

Mathematics Subject Classification ID

Integral closure of commutative rings and ideals (13B22) Seminormal rings (13F45)

Related Items (18)

A classification of the minimal ring extensions of certain commutative rings ⋮ Ascending the divided and going-down properties by absolute flatness ⋮ Closure along an admissible subset, seminormality and \(t\)-closedness. ⋮ Some remarks on the ring \(A\mathbb X_4\) ⋮ Totally t-closed rings ⋮ Anodality ⋮ SOME t-CLOSED PAIRS ⋮ On \(t\)-closedness of generalized power series rings ⋮ Unnamed Item ⋮ Straight Rings ⋮ Some Remarks on Pseudo-Krull Domains# ⋮ A Generalization of Divided Domains and Its Connection to Weak Baer Going-Down Rings ⋮ Finite maximal chains of commutative rings ⋮ Some remarks on half-factorial orders ⋮ Weak normality and t-closedness ⋮ When is length a length function? ⋮ Dependence integrale dans les anneaux de series formelles ⋮ Generalized normality in ring extensions involving amalgamated algebras

Cites Work

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• Submersion et descente. (Submersion and descent)
• Minimal order morphisms
• Some results on weakly normal ring extensions
• Remarks on quasinormal rings
• Characterizing when R[X is integrally closed. II]
• Picard groups in Abelian group rings
• On \(\text{Pic}(R[X)\) for \(R\) seminormal]
• Seminormality and quasinormality of group rings
• Pic is a contracted functor
• Pic\(R[X, X^{-1}\) for \(R\) a one-dimensional reduced Noetherian ring]
• Seminormality in power series rings
• Grothendieck groups and Picard groups of abelian group rings
• Some remarks on divisorial and seminormal overrings
• Proprietes et applications de la notion de contenu
• Purete, Rigidite, Et Morphismes Entiers
• Morphismes t- clos
• Pairs of Rings with the Same Prime Ideals
• Algebraic Extensions of Commutative Regular Rings
• On seminormality

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