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JOURNALS // Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya // Archive

Izv. RAN. Ser. Mat., 2018 Volume 82, Issue 3, Pages 136–153 (Mi im8651)

This article is cited in 9 papers

Simple finite-dimensional right-alternative unital superalgebras with associative-commutative even part over a field of characteristic zero

S. V. Pchelintsevab, O. V. Shashkovb

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

Abstract: We study simple finite-dimensional right-alternative unital superalgebras over a field of characteristic zero. We prove that if the even part of a superalgebra is associative and commutative, then the superalgebra is of Abelian type. The classification of such superalgebras is known.

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

UDC: 512.554.5

MSC: 17A70, 17D15, 17D05

Received: 09.01.2017

DOI: 10.4213/im8651


 English version:
Izvestiya: Mathematics, 2018, 82:3, 578–595

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© Steklov Math. Inst. of RAS, 2025