Author(s)

Shengxiang Wang^1,2, Tingting Tao^2*

¹Department of Mathematics, Nanjing University, Nanjing, China.
²School of Mathematics and Finance, Chuzhou University, Chuzhou, China.

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.

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

Wang, S. and Tao, T. (2016) On Hom-Lie Pseudo-Superalgebras. Advances in Pure Mathematics, 6, 420-435. doi: 10.4236/apm.2016.66029.