Théorie de Galois des anneaux presque-simples. (Galois theory of almost simple rings)
type: Item
instance of: scholarly article
title: Théorie de Galois des anneaux presque-simples. (Galois theory of almost simple rings)
zbMATH Open document ID: 0649.16029
DOI: 10.1016/0021-8693(87)90115-3
author: Michel Hacque
published in: Journal of Algebra
publication date: 1987-01-01T00:00:00Z
review text: The author presents a Galois theory of almost simple (a.s.) rings. These are defined as rings whose right socle is isotype and faithful on the left. They have been investigated in many papers of the author [e.g., Commun. Algebra 13, 1843-1898 (1985; Zbl 0572.16017)]. He shows that a.s. rings are a suitable class for establishing a Galois theory which uses not necessarily finite groups, sufficiently vast to include (skew-) fields, simple Artinian rings, completely primitive rings, rings of continuous transformations, and primitive rings with socle \(\neq 0\).
Mathematics Subject Classification ID: 16W20
Mathematics Subject Classification ID: 16Kxx
Mathematics Subject Classification ID: 16D60
zbMATH DE Number: 4059627
zbMATH Keywords: almost simple rings
zbMATH Keywords: Galois theory
zbMATH Keywords: simple Artinian rings
zbMATH Keywords: primitive rings
MaRDI profile type: Publication
full work available at URL: 0021-8693(87)90115-3
OpenAlex ID: W2035117881
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description: scientific article; zbMATH DE number 4059627