Cohomologies of finite-dimensional simple alternative superalgebras of characteristic 3
type: Item
instance of: scholarly article
title: Cohomologies of finite-dimensional simple alternative superalgebras of characteristic 3
zbMATH Open document ID: 0999.17008
published in: Journal of Algebra
publication date: 2001-04-25T00:00:00Z
review text: The second cohomology groups for certain simple finite-dimensional alternative superalgebras of characteristic 3 are calculated, with coefficients in regular superbimodules. Contrary to the case of simple alternative algebras, the groups are not trivial since the Wedderburn splitting theorem is not always true for alternative superalgebras. The results complement the similar results by N. A. Pisarenko for the case of characteristic \(\neq 2,3\).
reviewed by: Ivan Shestakov
Mathematics Subject Classification ID: 17A70
Mathematics Subject Classification ID: 17D05
Mathematics Subject Classification ID: 18G60
zbMATH DE Number: 1475246
zbMATH Keywords: alternative superalgebra
zbMATH Keywords: cohomology group
author: María Concepción López-Díaz
MaRDI profile type: Publication
full work available at URL: jabr.1999.8259
OpenAlex ID: W2083283380
cites work: Q5622399
cites work: The Wedderburn decomposition in finite-dimensional alternative superalgebras
cites work: The structure of alternative superbimodules
cites work: Q5522244
cites work: Q4220222
cites work: Graded Brauer Groups.
cites work: Q3947798
DOI: 10.1006/JABR.1999.8259
description: scientific article; zbMATH DE number 1475246