Morphismes t- clos

DOI10.1080/00927879208824555zbMath0774.13002OpenAlexW2068321289MaRDI QIDQ4029183

Gabriel Picavet, Martine L'Hermitte-Picavet

Publication date: 15 March 1993

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

Full work available at URL: https://doi.org/10.1080/00927879208824555

zbMATH Keywords

seminormalization\(t\)-closure\(t\)-closed extensionfactorization of ring homomorphisms

Mathematics Subject Classification ID

Morphisms of commutative rings (13B10) Extension theory of commutative rings (13B02) Ramification problems in algebraic geometry (14E22)

Related Items

Pointwise minimal extensions ⋮ Catenarian FCP ring extensions ⋮ Anneauxt-clos ⋮ Splitting ring extensions ⋮ Characterizing the ring extensions that satisfy FIP or FCP ⋮ Closure along an admissible subset, seminormality and \(t\)-closedness. ⋮ Unnamed Item ⋮ Totally t-closed rings ⋮ Étale extensions with finitely many subextensions ⋮ Anodality ⋮ SOME t-CLOSED PAIRS ⋮ Unnamed Item ⋮ THE FERRAND-OLIVIER CLASSIFICATION OF THE MINIMAL RING EXTENSIONS OF A FIELD: A PROOF AND A SURVEY OF ITS INFLUENCE ⋮ Ring extensions of length two ⋮ When an extension of Nagata rings has only finitely many intermediate rings, each of those is a Nagata ring ⋮ Transfer Results for the FIP and FCP Properties of Ring Extensions ⋮ Weak normality and t-closedness ⋮ Generalized normality in ring extensions involving amalgamated algebras

Cites Work

• Remarks on quasinormal rings
• Seminormality and root closure in polynomial rings and algebraic curves
• Subintegral ring extensions and some K-theoretical functors
• Grothendieck groups and Picard groups of abelian group rings
• Homomorphismes minimaux d'anneaux
• On seminormality