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Algebra and Discrete Mathematics, 2010, Volume 9, Issue 2, Pages 11–38
(Mi adm25)
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This article is cited in 1 scientific paper (total in 1 paper)
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.
Received: 12.05.2010 Revised: 12.05.2010
Citation:
Elisabete Barreiro, “Odd-quadratic Malcev superalgebras”, Algebra Discrete Math., 9:2 (2010), 11–38
Linking options:
https://www.mathnet.ru/eng/adm25 https://www.mathnet.ru/eng/adm/v9/i2/p11
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