On the FIP Property for Extensions of Commutative Rings

DOI10.1081/AGB-200066123zbMath1120.13009OpenAlexW2078978791MaRDI QIDQ5704504

Bernadette Mullins, Gabriel Picavet, Martine Picavet-L'Hermitte, David E. Dobbs

Publication date: 15 November 2005

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

Full work available at URL: https://doi.org/10.1081/agb-200066123

zbMATH Keywords

annihilatornilpotent elementpullbackNagata ringminimal ring extension

Mathematics Subject Classification ID

Algebraic field extensions (12F05) Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Extension theory of commutative rings (13B02) Integral dependence in commutative rings; going up, going down (13B21) Commutative Artinian rings and modules, finite-dimensional algebras (13E10)

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Cites Work

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• A characterization of Prüfer domains in terms of polynomials
• Intersections of quotient rings of an integral domain
• Homomorphismes minimaux d'anneaux
• Proprietes et applications de la notion de contenu
• CPI-Extensions: Overrings of Integral Domains with Special Prime Spectrums
• Some finiteness conditions on the set of overrings of an integral domain
• Autour de la platitude

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