3 papers
math.RA2021
On Hom-pre-Poisson algebras
Shanshan Liu, Abdenacer Makhlouf, Lina Song
In this paper, first we discuss Hom-pre-Poisson algebras and their relationships with Hom-Poisson algebra. Then we introduce the notion of a Hom-pre-Gerstenhaber algebra and show t…
math.RA2019
On Hom-pre-Lie bialgebras
Shanshan Liu, Abdenacer Makhlouf, Lina Song
In this paper we introduce the notion of Hom-pre-Lie bialgebra in the general framework of the cohomology theory for Hom-Lie algebras. We show that Hom-pre-Lie bialgebras, standard…
math.RA2019
Representations and cohomologies of Hom-pre-Lie algebras
Shanshan Liu, Lina Song, Rong Tang
In this paper, first we study dual representations and tensor representations of Hom-pre-Lie algebras. Then we develop the cohomology theory of Hom-pre-Lie algebras in term of the…