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Algebra Discrete Math., 2010, Volume 9, Issue 2, Pages 11–38 (Mi adm25)  

RESEARCH ARTICLE

Odd-quadratic Malcev superalgebras

Elisabete Barreiro

Departamento de Matemática, Universidade de Coimbra, Apartado 3008, 3001-454 Coimbra, PORTUGAL

Abstract: We present some properties of odd-quadratic Malcev superalgebras. The aim of this paper is to present the notions of double extension and generalized double extension of odd-quadratic Malcev superalgebras, culminating in the inductive description of odd-quadratic Malcev superalgebras such that the even part is a reductive Malcev algebra.

Keywords: Invariant scalar products; central extensions of Malcev superalgebras; generalized semi-direct products of Malcev superalgebras.

Full text: PDF file (325 kB)

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Received: 12.05.2010
Revised: 12.05.2010
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Citation: Elisabete Barreiro, “Odd-quadratic Malcev superalgebras”, Algebra Discrete Math., 9:2 (2010), 11–38

Citation in format AMSBIB
\Bibitem{Bar10}
\by Elisabete Barreiro
\paper Odd-quadratic Malcev superalgebras
\jour Algebra Discrete Math.
\yr 2010
\vol 9
\issue 2
\pages 11--38
\mathnet{http://mi.mathnet.ru/adm25}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=2808778}
\zmath{https://zbmath.org/?q=an:1225.17037}


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