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

Autor(es)

Murakami, L. S. I. ^[1] ; Pchelintsev, S. V. ^[2] ; Shashkov, O. V. ^[2]

Afiliação do(s) autor(es)

^[1] Univ Sao Paulo, Inst Matemat & Estat, Sao Paulo - Brazil

^[2] Financial Univ Govt Russian Federat, Moscow - Russia

• Tipo de documento: Artigo Científico
• Fonte: Journal of Algebra; v. 528, p. 150-176, JUN 1 2019.
• Citações Web of Science: 0

Resumo

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)

• Processo FAPESP: 14/09310-5 - Estruturas algébricas e suas representações
• Beneficiário: Vyacheslav Futorny
• Modalidade de apoio: Auxílio à Pesquisa - Temático