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JOURNALS // Matematicheskii Sbornik // Archive

Mat. Sb., 2017 Volume 208, Number 2, Pages 55–69 (Mi sm8678)

This article is cited in 12 papers

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

S. V. Pchelintsevab, O. V. Shashkova

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: It is shown that a simple finite-dimensional right-alternative unital superalgebra with semisimple strongly associative even part over a field of characteristic $\ne 2$ is either non-associative, or a superalgebra of Abelian type. A classification of such superalgebras over an algebraically closed field is given.
Bibliography: 21 titles.

Keywords: simple superalgebra, right-alternative superalgebra, superalgebra of Abelian type.

UDC: 512.554.5

MSC: 17A70, 17D15

Received: 22.02.2016 and 30.11.2016

DOI: 10.4213/sm8678


 English version:
Sbornik: Mathematics, 2017, 208:2, 223–236

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© Steklov Math. Inst. of RAS, 2025