This article is cited in 1 paper

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

O. V. Shashkov

Financial University under the Government of the Russian Federation, Moscow

Abstract: We prove that a simple finite-dimensional unital right alternative superalgebra over an algebraically closed field of characteristic 0 has semisimple even part if its even part is strongly alternative.

Keywords: simple superalgebra, right alternative superalgebra, strongly alternative superalgebra.

UDC: 512.554.5

MSC: 35R30

Received: 28.09.2019
Revised: 20.03.2020
Accepted: 08.04.2020

DOI: 10.33048/smzh.2020.61.516

 English version: Siberian Mathematical Journal, 2020, 61:5, 926–940

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