Linear super-commuting maps and super-biderivations on Hom-lie superalgebras
Ashutosh Pandey
TL;DR
This paper explores the relationships between linear super-commuting maps, super-biderivations, and centroids in Hom-Lie superalgebras, extending previous Lie algebra results to a broader algebraic context.
Contribution
It generalizes known results on Lie algebras to Hom-Lie superalgebras, establishing new connections among super-commuting maps, super-biderivations, and centroids.
Findings
Established connections between super-commuting maps and super-biderivations.
Extended classical Lie algebra results to Hom-Lie superalgebras.
Provided conditions under which these structures relate in Hom-Lie superalgebras.
Abstract
This paper investigates the fundamental connections between linear super-commuting maps, super-biderivations, and centroids in Hom-Lie superalgebras under certain conditions. Our work generalizes the results of Bresar and Zhao on Lie algebras.
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Taxonomy
TopicsAdvanced Topics in Algebra · Algebraic structures and combinatorial models · Rings, Modules, and Algebras