3 citations · 4 across the 7 of their papers we have counts for
8 papers
Deformation maps of Quasi-twilled associative algebras
Shanshan Liu, Abdenacer Makhlouf, Lina Song
In this paper, we introduce two types of deformation maps of quasi-twilled associative algebras. Each type of deformation maps unify various operators on associative algebras. Righ…
Cohomologies of pre-LieDer pairs and applications
Shanshan Liu, Liangyun Chen
In this paper, we use the higher derived bracket to give the controlling algebra of pre-LieDer pairs. We give the cohomology of pre-LieDer pairs by using the twist -algeb…
Deformations and abelian extensions of compatible pre-Lie algebras
Shanshan Liu, Liangyun Chen
In this paper, we first give the notation of a compatible pre-Lie algebra and its representation. We study the relation between compatible Lie algebras and compatible pre-Lie algeb…
Deformations and abelian extensions on anti-pre-Lie algebras
Shanshan Liu, Zhao Chen, Liangyun Chen
In this paper, we introduce the representation of anti-pre-Lie algebras and give the second cohomology group of anti-pre-Lie algebras. As applications, first, we study linear defor…
The full cohomology, abelian extensions and formal deformations of Hom-pre-Lie algebras
Shanshan Liu, Abdenacer Makhlouf, Lina Song
The main purpose of this paper is to provide a full cohomology of a Hom-pre-Lie algebra with coefficients in a given representation. This new type of cohomology exploit strongly th…
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…
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…
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…