Abstract:

This paper presents the definitions of Hom-Novikov superalgebras and Hom-Novikov-Poisson superalgebras, and the method to construct the Hom-Novikov superalgebras and Hom-Novikov-Poisson superalgebras based on the Hom-associative superalgebras and the even homomorphism.

Key words: Novikov superalgebra, Hom-Novikov superalgebra, Hom-Novikov-Poisson superalgebra