Anneaux fidelement representes sur leur socle droit

DOI10.1080/00927878208822764zbMath0495.16012OpenAlexW2047328548MaRDI QIDQ3958610

Michel Hacque

Publication date: 1982

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

Full work available at URL: https://doi.org/10.1080/00927878208822764

zbMATH Keywords

weak topologydual spaceGoldie dimensionendomorphism rings of vector spacesprimitive ringsgeneralized uniserial ringsnoetherian ringsright artinian ringshomogeneous componentindecomposable right idealsrings with left faithful right soclestrictly continuous endomorphisms of finite ranktriangular matrix rings over division rings

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras) (16D70) Topological and ordered rings and modules (16W80) Artinian rings and modules (associative rings and algebras) (16P20) Representation theory of associative rings and algebras (16Gxx) Division rings and semisimple Artin rings (16Kxx)

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Une cohomologie galoisienne et non abélienne pour les corps gauches, Sous-anneaux a degres, Cohomologies des anneaux-groupes, Produits croisés mixtes: extensions de groupes et extensions d'anneaux, Structure globale des extensions regulieres galoisiennes, Théorie de Galois des anneaux presque-simples. (Galois theory of almost simple rings), Prolongement d'isomorphismes et théorie de Galois. (Extension of isomorphisms and Galois theory), Hacque-Amitsur rings, Armatures des extensions galoisiennes, Structure et synthese des extensions regulieres galoisiennes. I, Structure et synthese des extensions regulieres galoisiennes. II, Prime rings with PI rings of constants, Prolongement de derivations et theorie de galois, Associative rings, Isomorphismes et automorphismes des anneaux presque-simples, Completions intrinseques et co-intrinseques, Factorisations des extensions galoisiennes, Extensions des anneaux presque-simples

Cites Work

• Dominant modules and finite localizations
• Torsion-free modules and rings
• Rings faithfully represented on their left socle
• Semiprimary rings of generalized triangular type
• Rings in which minimal left ideals are projective
• Rings with zero singular ideal
• The structure of certain artinian rings with zero singular ideal
• Quelques remarques sur la notion de socle
• Algèbre