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JP Journal of Algebra, Number Theory and Applications

JP Journal of Algebra, Number Theory and Applications
Volume 40, Issue 1, Pages 13 - 27 (February 2018)
http://dx.doi.org/10.17654/NT040010013

ON LIE-YAMAGUTI SUPERALGEBRAS STRUCTURE ON LEIBNIZ SUPERALGEBRAS

Patricia L. Zoungrana

Abstract:

In this paper, we study the properties of Akivis superalgebras associated to Leibniz superalgebras and using the connection between these two algebraic structures, we show that any Leibniz superalgebra has a natural Lie-Yamaguti superalgebra structure.

Keywords and phrases:

Akivis superalgebras, Leibniz superalgebras, Lie-Yamaguti superalgebras.

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