S. V. Pchelintsev, O. V. Shashkov, “Simple finite-dimensional right-alternative unital superalgebras with strongly associative even part”, Mat. Sb., 2017, Volume 208, Number 4,Pages <nobr>73

This article is cited in 10 papers

Simple finite-dimensional right-alternative unital superalgebras with strongly associative even part

S. V. Pchelintsev^ab, O. V. Shashkov^a

^a Financial University under the Government of the Russian Federation, Moscow
^b Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk

Abstract: We prove that the even part of a simple finite-dimensional right-alternative unital superalgebra over a field of characteristic 0 is semisimple if it is strongly associative.
Bibliography: 13 titles.

Keywords: simple superalgebra, right-alternative superalgebra, superalgebra with strongly associative even part.

UDC: 512.554.5

MSC: Primary 17A70; Secondary 17D15

Received: 10.03.2016

DOI: 10.4213/sm8695