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JOURNALS // Matematicheskie Zametki // Archive

Mat. Zametki, 2016 Volume 100, Issue 4, Pages 577–585 (Mi mzm10880)

This article is cited in 12 papers

Simple Finite-Dimensional Right Alternative Superalgebras with Unitary Even Part over a Field of Characteristic $0$

S. V. Pchelintsev, O. V. Shashkov

Financial University under the Government of the Russian Federation, Moscow

Abstract: An algebra obtained by the external adjoining a unit to a nilalgebra is said to be unitary. It is proved that every simple finite-dimensional right alternative superalgebra with unitary even part over a field of characteristic $0$ is associative.

Keywords: simple superalgebra, simple finite-dimensional right alternative superalgebra, unital superalgebra, radical.

UDC: 512.554.5

Received: 28.06.2015

DOI: 10.4213/mzm10880


 English version:
Mathematical Notes, 2016, 100:4, 589–596

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© Steklov Math. Inst. of RAS, 2025