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JOURNALS // Algebra i logika // Archive

Algebra Logika, 2019 Volume 58, Number 5, Pages 627–649 (Mi al919)

This article is cited in 1 paper

Simple asymmetric doubles, their automorphisms and derivations

S. V. Pchelintsev, O. V. Shashkov

Financial University under the Government of the Russian Federation, Moscow

Abstract: A simple right-alternative, but not alternative, superalgebra whose even part coincides with an algebra of second-order matrices is called an asymmetric double. It is known that such superalgebras are eight-dimensional. We give a solution to the isomorphism problem for asymmetric doubles, point out their automorphism groups and derivation superalgebras.

Keywords: asymmetric double, isomorphism, automorphism group, superalgebra.

UDC: 512.554.5

Received: 14.12.2018
Revised: 26.11.2019

DOI: 10.33048/alglog.2019.58.504


 English version:
Algebra and Logic, 2019, 58:5, 417–433

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© Steklov Math. Inst. of RAS, 2025