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has been cited by the following article:

• TITLE: On Hom-Lie Pseudo-Superalgebras

  AUTHORS: Shengxiang Wang, Tingting Tao

  KEYWORDS: Hom-Associative Pseudo-Superalgebra, Hom-Lie Pseudo-Superalgebra, Hom-Lie Conformal Superalgebra, Hom-Annihilation Superalgebra, Cohomology

  JOURNAL NAME: Advances in Pure Mathematics, Vol.6 No.6, May 19, 2016

  ABSTRACT: The aim of this article is to introduce the notion of Hom-Lie H-pseudo-superalgebras for any Hopf algebra H. This class of algebras is a natural generalization of the Hom-Lie pseudo-algebras as well as a special case of the Hom-Lie superalgebras. We present some construction theorems of Hom-Lie H-pseudo-superalgebras, reformulate the equivalent definition of Hom-Lie H-pseudo-super-algebras, and consider the cohomology theory of Hom-Lie H-pseudo-superalgebras with coefficients in arbitrary Hom-modules as a generalization of Kac’s result.