The full cohomology, abelian extensions and formal deformations of Hom-pre-Lie algebras

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 exploits strongly the Hom-type structure and fits perfectly with simultaneous deformations of the multiplication and the homomorphism defin...

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Bibliographic Details
Main Authors: Shanshan Liu, Abdenacer Makhlouf, Lina Song
Format: Article
Language:English
Published: AIMS Press 2022-05-01
Series:Electronic Research Archive
Subjects:
Online Access:https://www.aimspress.com/article/doi/10.3934/era.2022141?viewType=HTML