2 citations · 4 across the 7 of their papers we have counts for
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Central derivations of low-dimensional Zinbiel algebras
Basdouri Imed, Jean Lerbet, Bouzid Mosbahi
The study of central derivations in low-dimensional algebraic structures is a crucial area of research in mathematics, with applications in understanding the internal symmetries an…
Formal deformations and extensions of `twisted' Lie algebras
I. Basdouri, E. Peyghan, M. A. Sadraoui +1
The interplay between derivations and algebraic structures has been a subject of significant interest and exploration. Inspired by Yau's twist and the Leibniz rule, we investigate…
Cohomologies of modified Rota-Baxter Lie algebras with derivations and applications
Imed Basdouri, Sami Benabdelhafidh, Mohamed Amin Sadraoui
In this paper, first, we introduce a notion of modified Rota-Baxter Lie algebras of weight with derivations (or simply modified Rota-Baxter LieDer pairs) and their repre…
Cohomologies and deformations of weighted Rota-Baxter Lie algebras and associative algebras with derivations
Basdouri Imed, Sadraoui Mohamed Amin, Shuangjian Guo
The purpose of the present paper is to investigate cohomologies and deformations of weighted Rota-Baxter Lie algebras as well as weighted Rota-Baxter associative algebras with deri…
Classification, -Inner Derivations and -Centroids of Finite-Dimensional Complex Hom-Trialgebras
Bouzid Mosbahi, Ahmed Zahari, Imed Basdouri
In the current research work, our basic objective is to investigate the stucture of Hom-associative trialgebras. Next, we build up one important class of Hom-associative trialgebra…
Classification, Derivations and Centroids of Low-Dimensional Complex BiHom-Trialgebras
Ahmed Zahari, Bouzid Mosbahi, Imed Basdouri
The basic objective of this research work is to investigate the stucture of BiHom-associative trialgebras.\,In this respect we build up one important class of BiHom-trialgebras and…