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Indexed by:Journal Papers

Date of Publication:2016-01-01

Journal:TURKISH JOURNAL OF MATHEMATICS

Included Journals:SCIE

Volume:40

Issue:1

Page Number:1-20

ISSN No.:1300-0098

Key Words:Hom-Lie 2-superalgebras; superderivations; representations; deformations; abelian extensions; Hom-associative Rota-Baxter superalgebras

Abstract:Hom-Lie 2-superalgebras can be considered as the categorification of Hom-Lie superalgebras. We give the definition of Hom-Lie 2-superalgebras and study their superderivations. We obtain the representation, deformation, and abelian extensions related to the 2-cocycle and Hom-Nijenhuis operators. Moreover, we also construct a skeletal (strict) Hom-Lie 2-superalgebra from a Hom-associative Rota-Baxter superalgebra.