2 citations · 5 across the 24 of their papers we have counts for
24 papers
Classification of Nijenhuis operators on three-dimensional multiplicative simple Bihom-Lie algebras
Bouzid Mosbahi
We provide a complete classification of Nijenhuis operators on three-dimensional multiplicative simple BiHom-Lie algebras over the complex field C. Based on the classification of s…
Cohomology and deformation theory of Reynolds--Nijenhuis associative algebras
Bouzid Mosbahi, Imed Basdouri, Jean Lerbet
In this paper, we introduce and study Reynolds--Nijenhuis operators on associative algebras a novel hybrid structure that simultaneously satisfies the defining identities of both R…
Hochschild cohomology groups of 5-dimensional complex nilpotent associative algebras
Bouzid Mosbahi, Imed Basdouri, Jean Lerbet
This paper explores the structure of low-dimensional cohomology groups in the context of complex nilpotent associative algebras. Specifically, we study 5-dimensional complex nilpot…
Compatible Pairs of Low-Dimensional Associative Algebras and Their Invariants
Ahmed Zahari Abdou Damdji, Bouzid Mosbahi
A compatible associative algebra is a vector space endowed with two associative multiplication operations that satisfy a natural compatibility condition. In this paper, we investig…
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…
Matrix Representations of Derivations for Low-Dimensional Mock-Lie Algebras
Imed Basdouri, Bouzid Mosbahi
In this work, we study the matrix representation of derivations for Mock-Lie algebras with dimensions up to four. Using matrix methods, we examine their structure and properties, s…
Computational Methods for Biderivations of 4-dimensional nilpotent complex leibniz algebras
Ahmed Zahari Abdou, Bouzid Mosbahi
This paper focuses on the biderivations of 4-dimensional nilpotent complex Leibniz algebras. Using the existing classification of these algebras, we develop algorithms to compute d…
Computational Approaches to Derivations and Automorphism Groups of Associative Algebras
Ahmed Zahari Abdou, Bouzid Mosbahi
This paper focuses on the derivations and automorphism groups of certain finite-dimensional associative algebras over the field of complex numbers. Using classification results for…
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…
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…
Quasi-Centroids and Quasi-Derivations of low-dimensional Zinbiel algebras
Basdouri Imed, Jean Lerbet, Bouzid Mosbahi
In this paper, we introduce the concepts of quasi-centroid and quasi-derivation for Zinbiel algebras. Utilizing the classification results of Zinbiel algebras established previousl…
Classification of ()-derivations of two-dimensional left-symmetric dialgebras
Basdouri Imed, Bouzid Mosbahi
We introduce and study a generalized form of derivations for dendriform algebras, specifying all admissible parameter values that define these derivations. Additionally, we present…
Rota-type operators on 2-dimensional dendriform algebras
Imed Basdouri, Bouzid Mosbahi
We describe Rota-Baxter operators, Reynolds operators, Nijenhuis operators, and Averaging operators on 2-dimensional dendriform algebras over .
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…
Generalized derivations of BiHom-supertrialgebras
Nil Mansuroglu, Bouzid Mosbahi
In this note, our goal is to describe the concept of generalized derivations in the context of BiHom-supertrialgebras. We provide a comprehensive analysis of the properties and app…
On structures of BiHom-Superdialgebras and their derivations
Nil Mansuroglu, Bouzid Mosbahi
BiHom-superdialgebras are clear generalization of Hom-superdialgebras. The purpose of this note is to describe and to survey structures of BiHom-superdialgebras. Then we derive der…
Cohomology and deformation theory of -operators on Hom-Lie conformal algebras
Sania Asif, Yao Wang, Bouzid Mosbahi +1
In the present paper, we aim to introduce the cohomology of -operators defined on the Hom-Lie conformal algebra concerning the given representation. To obtain the desi…
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, -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…
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…