This article is cited in 3 papers

Right alternative superalgebras of capacity 1 with strongly alternative even part

O. V. Shashkov

Financial University under the Government of the Russian Federation, Moscow

Abstract: We look at the structure of a unital right alternative superalgebra of capacity 1 over an algebraically closed field assuming that its even part is finite-dimensional and strongly alternative. It is proved that the condition of being simple for such a superalgebra implies the simplicity of its even part.

Keywords: right alternative superalgebra, superalgebra of capacity 1, simple superalgebra.

UDC: 512.554.5

Received: 07.09.2019
Revised: 14.07.2020

DOI: 10.33048/alglog.2020.59.206

 English version: Algebra and Logic, 2020, 59:2, 180–195

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