Аннотация:
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.
Ключевые слова:Invariant scalar products; central extensions of Malcev superalgebras; generalized semi-direct products of Malcev superalgebras.
Поступила в редакцию: 12.05.2010 Исправленный вариант: 12.05.2010
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