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论文类型：期刊论文

发表时间：2016-01-01

发表刊物：TURKISH JOURNAL OF MATHEMATICS

收录刊物：SCIE

卷号：40

期号：1

页面范围：1-20

ISSN号：1300-0098

关键字：Hom-Lie 2-superalgebras; superderivations; representations; deformations; abelian extensions; Hom-associative Rota-Baxter superalgebras

摘要：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.