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has been cited by the following article:
TITLE: On Simple Completely Reducible Binary-Lie Superalgebras over sl2(F)
AUTHORS: Manuel Arenas
KEYWORDS: Binary-Lie, Super-Algebras
JOURNAL NAME: Advances in Pure Mathematics, Vol.5 No.5, April 20, 2015
ABSTRACT: In this article, we prove that if B is a simple binary-Lie superalgebra whose even part is isomorphic to sl2(F) and whose odd part is a completely reducible binary-Lie-module over the even part, then B is a Lie superalgebra. We introduce also a binary-Lie module over which is sl2(F) not completely reducible.