Proprietes et applications de la notion de contenu

DOI10.1080/00927878508823275zbMath0584.13004OpenAlexW4250056873MaRDI QIDQ3708883

Gabriel Picavet

Publication date: 1985

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

Full work available at URL: https://doi.org/10.1080/00927878508823275

zbMATH Keywords

spectral spaceSpeccontent modulecontent algebraintersection of all ideals

Mathematics Subject Classification ID

Ideals and multiplicative ideal theory in commutative rings (13A15) Extension theory of commutative rings (13B02) Relevant commutative algebra (14A05)

Related Items (8)

Anneauxt-clos ⋮ Around Prüfer Extensions of Rings ⋮ Closure along an admissible subset, seminormality and \(t\)-closedness. ⋮ Flat polynomial endomorphisms ⋮ On the FIP Property for Extensions of Commutative Rings ⋮ The Ohm–Rush content function ⋮ Unnamed Item ⋮ Transfer Results for the FIP and FCP Properties of Ring Extensions

Cites Work

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• Generating ideals up to radical
• Idéaux divisoriels d'un anneau de polynômes
• Trivialisation des modules projectifs. La méthode de Kronecker
• Éléments de géométrie algébrique. IV: Étude locale des schémas et des morphismes de schémas. (Première partie). Rédigé avec la colloboration de J. Dieudonné
• Flat modules, injective modules and quotient rings
• On the localization ring of a ring
• Critères de platitude et de projectivité. Techniques de platification d'un module. (Criterial of flatness and projectivity. Technics of flatification of a module.)
• Content Algebras
• Ultrafiltres sur un espace spectral - Anneaux de Baer - Anneaux a spectre minimal compact.
• Projectively torsion-free modules
• Content Modules and Algebras.

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