RUS  ENG
Full version
JOURNALS // Sibirskii Matematicheskii Zhurnal // Archive

Sibirsk. Mat. Zh., 2020 Volume 61, Number 2, Pages 385–407 (Mi smj5990)

This article is cited in 1 paper

Simple right-alternative superalgebras with semisimple even part

S. V. Pchelintsev, O. V. Shashkov

Financial University under the Government of the Russian Federation, Moscow

Abstract: We classify the unital finite-dimensional simple right-alternative superalgebras with semisimple even part and prove that each of these superalgebras is either a simple associative matrix Wall algebra, or a simple alternative Shestakov superalgebra, or an asymmetric double, or an abelian superalgebra of type $\roman B_{n\mid n}$, $n\geq 2$, or $\roman B_{2\mid2}(\nu)$. Furthermore, we obtain a description of right-alternative superalgebras with simple even part; every such superalgebra either is simple or has the odd part with zero product.

Keywords: unital simple right-alternative superalgebra.

UDC: 512.554.5

Received: 02.07.2019
Revised: 02.07.2019
Accepted: 25.12.2019

DOI: 10.33048/smzh.2020.61.213


 English version:
Siberian Mathematical Journal, 2020, 61:2, 304–321

Bibliographic databases:


© Steklov Math. Inst. of RAS, 2025