2 citations · 5 across the 13 of their papers we have counts for
14 papers
Nijenhuis Lie -algebras
Imed Basdouri, Tarek Ben Massoud, Ahmed Zahari
We introduce a homotopical framework for Nijenhuis operators on semistrict Lie -algebras (-term -algebras) for every and, more generally, on arbitrary $L_…
Rota-Type Operators on 2-Dimensional Pre-Lie Algebras
Imed Basdouri, Bouzid Mosbahi, Ahmed Zahari
This paper studies Rota-Baxter, Reynolds, Nijenhuis, and Averaging operators on 2-dimensional pre-Lie algebras over . Using the classification of 2-dimensional pre-Lie…
An Algorithmic Approach to Inner Derivations of Low-Dimensional Zinbiel Algebras
Bouzid Mosbahi, Ahmed Zahari
In this paper, we introduce the concept of inner derivations of low-dimensional Zinbiel algebras and investigate their properties. The primary objective of this study is to develop…
Compatible Associative Algebras and Some Invariants
Erik Mainellis, Bouzid Mosbahi, Ahmed Zahari
A compatible associative algebra is a vector space equipped with two associative multiplication structures that interact in a certain natural way. This article presents the classif…
Cohomology of BiHom-Associative Trialgebras
Erik Mainellis, Bouzid Mosbahi, Ahmed Zahari
The paper concerns the cohomology of (multiplicative) BiHom-associative trialgebras. We first detail the correspondence between central extensions and second cohomology. This is fo…
Derivations, Cohomology and Deformation of BiHom-Associative Dialgebra
Ahmed Zahari, Sania Asif
Due to the immense importance of BiHom Type algebras and cohomology of various algebraic structures, this paper is devoted to defining the BiHom-associative dialgebra, its derivati…
Quasi-Centroids and Quasi-Derivations of Low Dimensional Associative Algebras
M. A. Fiidow, Ahmed Zahari, Bouzid Mosbahi
In this paper, we present some basic properties concerning the quasi-derivation algebra and the quasi-centroid algebra of associative algebra…
Classification of tridendriform algebra and related structures
Bouzid Mosbahi, Sania Asif, Ahmed Zahari
The classification of algebraic structures and their derivations is an important and ongoing research area in mathematics and physics, and various results have been obtained in thi…
Classification, -Derivations and Centroids of -dimensional Complex Hom-associative Dialgebras
Ahmed Zahari
The basic objective of the current research paper is to investigate the structure and the algebraic varieties of Hom-associative dialgebras. We elaborate a classification of -di…
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…
Classification, Derivations and Centroids of Low-Dimensional Real Trialgebras
Ahmed Zahari, Bouzid Mosbahi, Imed Basdouri
In this paper we study the structure and the algebraic varieties of associative trialgebras. We provide a classification of n-dimensional associative trialgebras for n 4. Us…
Classification of 3-Dimensional BiHom-Associative and BiHom-Bialgebras
Ahmed Zahari
The purpose of this paper is to study the structure and the algebraic varieties of BiHom-associative algebras. We provide a classication of n-dimensional BiHom-associative and BiHo…
Structure and classification of Hom-associative algebras
Ahmed Zahari, Abdenacer Makhlouf
The purpose of this paper is to study the structure and the algebraic varieties of Hom-associative algebras. We give characterize multiplicative simple Hom-associative algebras and…