Profondeur, hauteur et localisations en algèbre non commutative

DOI10.1016/0022-4049(84)90086-0zbMath0536.16004OpenAlexW2039315163WikidataQ127177384 ScholiaQ127177384MaRDI QIDQ791604

Jacques Raynaud

Publication date: 1984

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-4049(84)90086-0

zbMATH Keywords

heightdepthprime idealprime kernel functorSerre conditions

Mathematics Subject Classification ID

Generalizations of commutativity (associative rings and algebras) (16U80) Ideals and multiplicative ideal theory in commutative rings (13A15) Torsion theories; radicals on module categories (associative algebraic aspects) (16S90) Dimension theory, depth, related commutative rings (catenary, etc.) (13C15) Localization and associative Noetherian rings (16P50)

Related Items

On seminoetherian rings and modules

Cites Work

• Ordres maximaux au sens de K. Asano
• Anneaux de Krull non commutatifs
• Prime spectra in non-commutative algebra
• Une remarque sur les localisations premieres d'un anneau noetherien à droite
• Local cohomology. A seminar given by A. Grothendieck, Harvard University, Fall 1961. Notes by R. Hartshorne
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• The torsion theory at a prime ideal of a right Noetherian ring
• Commutative Torsion Theory
• Quelques proprietes des localisations
• A Note on Quasi-Frobenius Rings and Ring Epimorphisms
• Coherent Rings and Fp -Injective Modules
• Des catégories abéliennes
• Krull dimension
• Rings and modules of quotients
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