3-ary Hom-Lie superalgebras induced Hom-Lie superalgebras
Baoling Guan, Liangyun Chen, Bing Sun
TL;DR
This paper investigates the connections between Hom-Lie superalgebras and their induced 3-ary variants, analyzing structural properties like ideals, solvability, and cohomology to deepen understanding of their algebraic relationships.
Contribution
It introduces a comprehensive study of how 3-ary Hom-Lie superalgebras are induced from Hom-Lie superalgebras and examines their structural characteristics.
Findings
Characterization of ideals and centers in induced 3-ary structures
Analysis of solvability and nilpotency conditions
Insights into cohomology and central extensions
Abstract
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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