Prime non-Lie modules for Malcev superalgebras
type: Item
instance of: scholarly article
title: Prime non-Lie modules for Malcev superalgebras
zbMATH Open document ID: 0824.17003
DOI: 10.1007/BF00750852
author: Alberto Elduque
author: Ivan Shestakov
published in: Algebra and Logic
publication date: 1995-06-26T00:00:00Z
review text: A bimodule \(V\) for a superalgebra \(A\) is prime if any two of its nonzero submodules have a nonzero intersection and no nonzero submodule is annihilated by a nonzero ideal of \(A\). The authors determine all prime bimodules for Malcev algebras modulo Lie theory. In fact, the work is done in the setting of Malcev superalgebras.
reviewed by: Ernest L. Stitzinger
Mathematics Subject Classification ID: 17A70
Mathematics Subject Classification ID: 17D10
zbMATH DE Number: 767670
zbMATH Keywords: prime bimodules
zbMATH Keywords: Malcev algebras
zbMATH Keywords: Malcev superalgebras
MaRDI profile type: Publication
Wikidata QID: Q115394928
cites work: Q3889234
cites work: Irreducible non-Lie modules for Malcev superalgebras
cites work: Q3986311
cites work: Q3809977
cites work: Q3129422
cites work: The First Whitehead Lemma for Malcev Algebras
full work available at URL: https://doi.org/10.1007/bf00750852
OpenAlex ID: W1984813778
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description: scientific article; zbMATH DE number 767670