The structure of alternative superbimodules
type: Item
instance of: scholarly article
title: The structure of alternative superbimodules
zbMATH Open document ID: 0840.17030
DOI: 10.1007/BF00756352
author: N. A. Pisarenko
published in: Algebra and Logic
publication date: 1996-05-14T00:00:00Z
full work available at URL: https://eudml.org/doc/187706
review text: The main purpose of the paper under review is to describe the alternative superbimodules of semisimple alternative superalgebras over an algebraically closed field of characteristic different from 2 and 3. The main results are: (i) If the superalgebra does not contain a supersubalgebra of type \((M_1 (F), M_1 (F))\) in its decomposition into prime ideals, then the superbimodules are merely alternative bimodules and their description can be obtained from \textit{R. D. Schafer} [Trans. Am. Math. Soc. 72, 1-17 (1952; Zbl 0046.03503)]. (ii) For the superalgebra \((M_1 (F), M_1(F))\) the author constructs a family of superbimodules which gives a complete list of the irreducible superbimodules.
reviewed by: Vesselin Drensky
Mathematics Subject Classification ID: 17D05
Mathematics Subject Classification ID: 17A70
zbMATH DE Number: 862288
zbMATH Keywords: alternative superbimodules
zbMATH Keywords: semisimple alternative superalgebras
MaRDI profile type: Publication
cites work: Representations of Alternative Algebras
cites work: Q5832100
cites work: The Wedderburn decomposition in finite-dimensional alternative superalgebras
cites work: Q3961610
cites work: Q3197984
OpenAlex ID: W2006572723
description: scientific article; zbMATH DE number 862288