Sous-anneaux a degres

DOI10.1080/00927878608823305zbMath0583.16016OpenAlexW1972184425MaRDI QIDQ3708147

Michel Hacque

Publication date: 1986

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

Full work available at URL: https://doi.org/10.1080/00927878608823305

zbMATH Keywords

weak topologyidempotentbilinear formdivision ringprimitive ringscontinuous endomorphismsminimal right idealsJacobson-Bourbaki theoremright socleleft heightcomplete ring of linear transformationsright almost simple ringright degrees

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Automorphisms and endomorphisms (16W20) Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras) (16D70) Simple and semisimple modules, primitive rings and ideals in associative algebras (16D60) Centralizing and normalizing extensions (16S20)

Related Items

Une cohomologie galoisienne et non abélienne pour les corps gauches ⋮ 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) ⋮ Armatures des extensions galoisiennes ⋮ Prolongement de derivations et theorie de galois ⋮ Factorisations des extensions galoisiennes

Cites Work

• Galois theory of semiprime rings
• The fundamental theorem of the Galois theory for quasi-fields
• Galois theory for general rings with minimum condition
• La théorie de Galois des anneaux simples et semi-simples
• Isomorphismes et automorphismes des anneaux presque-simples
• Extensions des anneaux presque-simples
• Anneaux fidelement representes sur leur socle droit
• Quelques remarques sur la notion de socle
• Double Vector Spaces Over Division Rings
• Linearly Compact Spaces and Double Vector Spaces Over Sfields
• An Extension of Galois Theory to Non-Normal and Non-Separable Fields