3 papers
math.RA2023
On the Hom-Lie CoDer pairs
Asif Sania, Basdouri Imed, Sadraoui Mohamed Amin
The present research paper investigates the intricate fields of Hom-Lie algebra and Hom-Lie coalgebra, providing a complete analysis of their key concepts and important examples. P…
math.RA2023
On compatible Lie and pre-Lie Yamaguti algebras
Asif Sania, Basdouri Imed, Sadraoui Mohamed Amin
This study aims to generalize the notion of compatible Lie algebras to the compatible Lie Yamaguti algebras. Along with describing the representation of the compatible Lie Yamaguti…
math.RA2023
Cohomology of compatible BiHom-Lie algebras
Asif Sania, Basdouri Imed, Bouzid Mosbahi +1
This paper defines compatible BiHom-Lie algebras by twisting the compatible Lie algebras by two linear commuting maps. We show the characterization of compatible BiHom-Lie algebra…