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math-ph2021
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…
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…