Quasi-Prüfer Extensions of Rings

DOI10.1007/978-3-319-65874-2_16zbMath1400.13012arXiv1610.10023OpenAlexW2546317362MaRDI QIDQ4639015

Martine Picavet-L'Hermitte, Gabriel Picavet

Publication date: 2 May 2018

Published in: Rings, Polynomials, and Modules (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1610.10023

zbMATH Keywords

minimal extensionPrüfer extensionintegral extensionFCP extensionflat epimorphismFMC extensionquasi-Prüfer extension

Mathematics Subject Classification ID

Integral closure of commutative rings and ideals (13B22) Valuations and their generalizations for commutative rings (13A18) Extension theory of commutative rings (13B02) Dedekind, Prüfer, Krull and Mori rings and their generalizations (13F05) Relevant commutative algebra (14A05)

Related Items (13)

An answer to a question about maximal non-integrally closed subrings ⋮ Catenarian FCP ring extensions ⋮ The Loewy series of an FCP (distributive) ring extension ⋮ Unnamed Item ⋮ Boolean FIP ring extensions ⋮ Splitting ring extensions ⋮ Around Prüfer Extensions of Rings ⋮ Unnamed Item ⋮ On strongly affine extensions of commutative rings ⋮ On almost valuation ring pairs ⋮ FCP \(\Delta\)-extensions of rings ⋮ 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

Cites Work

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• New results about normal pairs of rings with zero-divisors
• Submersion et descente. (Submersion and descent)
• Manis valuations and Prüfer extensions. I: A new chapter in commutative algebra
• Incomparability in ring extensions
• Going up along absolutely flat morphisms
• On semi-hereditary rings
• On characterizations of integrality involving the lying-over and incomparable properties
• Some results on Prüfer rings
• Laskerian pairs
• Seminormal or \(t\)-closed schemes and Rees rings
• Residually algebraic pairs of rings
• Going-down pairs of commutative rings
• Characterizing the ring extensions that satisfy FIP or FCP
• Anneaux locaux henséliens
• Flat modules, injective modules and quotient rings
• Homomorphismes minimaux d'anneaux
• A Constructive Study About the Set of Intermediate Rings
• On Finite Saturated Chains of Overrings
• Uppers to Zero in Polynomial Rings and Prüfer-Like Domains
• Fermeture intégrale et changement de base
• On Inc-Extensions and Polynomials with Unit Content
• Pairs of Rings with the Same Prime Ideals
• Universally Going-Down Rings, 1-Split Rings, and Absolute Integral Closure
• Prüfer and Morita Hulls of FCP Extensions
• Transfer Results for the FIP and FCP Properties of Ring Extensions
• Finite maximal chains of commutative rings
• Autour de la platitude
• Prüfer rings with zero divisors.
• Universally catenarian and going-down pairs of rings

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