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Algebra Logika, 2010 Volume 49, Number 1, Pages 26–59 (Mi al428)

This article is cited in 13 papers

Noncommutative Jordan superalgebras of degree $n>2$

A. P. Pozhidaeva, I. P. Shestakovab

a Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk, Russia
b Departamento de Matemática, Universidade de São Paulo, São Paulo-SEP, BRASIL

Abstract: We prove a coordinatization theorem for noncommutative Jordan superalgebras of degree $n>2$, describing such algebras. It is shown that the symmetrized Jordan superalgebra for a simple finite-dimensional noncommutative Jordan superalgebra of characteristic 0 and degree $n>1$ is simple. Modulo a “nodal” case, we classify central simple finite-dimensional noncommutative Jordan superalgebras of characteristic 0.

Keywords: noncommutative Jordan superalgebra, coordinatization theorem.

UDC: 512.543.12

Received: 30.09.2009


 English version:
Algebra and Logic, 2010, 49:1, 18–42

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