3-ary Hom-Lie superalgebras induced Hom-Lie superalgebras
classification
🧮 math.RA
keywords
hom-lieinducedsuperalgebrasuperalgebrasary-hom-liecentercentralcohomology
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The purpose of this paper is to study the relationships between a Hom-Lie superalgebra and its induced 3-ary-Hom-Lie superalgebra. We provide an overview of the theory and explore the structure properties such as ideals, center, derived series, solvability, nilpotency, central extensions, and the cohomology.
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