Restricted Hom-Lie Superalgebras
Shadi Shaqaqha
TL;DR
This paper introduces restricted Hom-Lie superalgebras, a new algebraic structure generalizing existing types, and explores their properties, constructions, and homomorphisms.
Contribution
It defines restricted Hom-Lie superalgebras, shows how to derive them from classical restricted Lie superalgebras, and studies their properties and morphisms.
Findings
Established a method to construct restricted Hom-Lie superalgebras from classical ones.
Defined and analyzed homomorphisms between restricted Hom-Lie superalgebras.
Explored properties of p-maps and restrictable structures.
Abstract
The aim of this paper is to introduce the notion of restricted Hom- Lie superalgebras. This class of algebras is a generalization of both restricted Hom-Lie algebras and restricted Lie superalgebras. In this paper, we present a way to obtain restricted Hom-Lie superalgebras from the classical restricted Lie superalgebras along with algebra en- domorphisms. Homomorphisms relations between restricted Hom-Lie superalgebras are defined and studied. Also, we obtain some proper- ties of p-maps and restrictable Hom-Lie superalgebras.
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Taxonomy
TopicsAdvanced Topics in Algebra · Algebraic structures and combinatorial models · Homotopy and Cohomology in Algebraic Topology