%0 Journal Article
%T On Hom-Lie Pseudo-Superalgebras
%A Shengxiang Wang
%A Tingting Tao
%J Advances in Pure Mathematics
%P 420-435
%@ 2160-0384
%D 2016
%I Scientific Research Publishing
%R 10.4236/apm.2016.66029
%X The aim of this article is to introduce the notion of Hom-Lie <i>H</i>-pseudo-superalgebras for any Hopf
algebra <i>H</i>. 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 <i>H</i>-pseudo-superalgebras,
reformulate the equivalent definition of Hom-Lie <i>H</i>-pseudo-super-algebras, and consider the cohomology theory of Hom-Lie <i>H</i>-pseudo-superalgebras with coefficients
in arbitrary Hom-modules as a generalization of Kac¡¯s result.
%K Hom-Associative Pseudo-Superalgebra
%K Hom-Lie Pseudo-Superalgebra
%K Hom-Lie Conformal  Superalgebra
%K Hom-Annihilation Superalgebra
%K Cohomology
%U http://www.scirp.org/journal/PaperInformation.aspx?PaperID=66567