Finite-dimensional right alternative superalgebras with semisimple strongly alternative even part

Murakami, L. S. I.; Pchelintsev, S. V.; Shashkov, O. V.

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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

Finite-dimensional right alternative superalgebras with semisimple strongly alternative even part

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Author(s):	Murakami, L. S. I. ^[1] ; Pchelintsev, S. V. ^[2] ; Shashkov, O. V. ^[2] Total Authors: 3
Affiliation:	^[1] Univ Sao Paulo, Inst Matemat & Estat, Sao Paulo - Brazil ^[2] Financial Univ Govt Russian Federat, Moscow - Russia Total Affiliations: 2
Document type:	Journal article
Source:	Journal of Algebra; v. 528, p. 150-176, JUN 1 2019.
Web of Science Citations:	0
Abstract
The class of finite-dimensional unital right alternative superalgebras with semisimple strongly alternative even part over an algebraically closed field are studied. We introduce the concept of weak annihilator of a superalgebra and prove that it is a superideal, and the superalgebra itself splits into the direct sum of its weak annihilator and a superalgebra with a zero weak annihilator. We also classify superalgebras with zero weak annihilator in this class of superalgebras. (C) 2019 Elsevier Inc. All rights reserved. (AU)

FAPESP's process:	14/09310-5 - Algebraic structures and their representations
Grantee:	Vyacheslav Futorny
Support Opportunities:	Research Projects - Thematic Grants

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