JP Journal of Algebra, Number Theory and Applications
Volume 40, Issue 1, Pages 13 - 27
(February 2018) http://dx.doi.org/10.17654/NT040010013 |
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ON LIE-YAMAGUTI SUPERALGEBRAS STRUCTURE ON LEIBNIZ SUPERALGEBRAS
Patricia L. Zoungrana
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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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