36 citations · 94 across the 20 of their papers we have counts for
15 papers · 1 filter
Splitting of operations for Hom-diassociative and Hom-triassociative Algebras
Abdelkader Hamdouni, Imed Basdouri, Mariem Jendoubi +1
Hom-quadri dendriform algebras and Hom-six-dendriform agebras are introduced and studied which is a splitting of a Hom-diassociative and Hom-triassociative algebras, respectively.…
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…
Related Hom-rhizaform algebras and Rota-Baxter Operators, Hom-Rhizaform Family Algebras
Imed Basdouri, Mariem Jendoubi, Ahmed Zahari Abdou Damdji
This paper explores the link between Hom-rhizaform algebras and Rota-Baxter operators. We define a new structure, the Hom-rhizaform family algebra, which is a more general version…
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…
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 .
A cohomological study of modified Rota-Baxter associative algebras with derivations
Imed Basdouri, Sami Benabdelhafidh, Mohamed Amin Sadraoui +1
This paper presents a cohomological study of modified Rota-Baxter associative algebras in the presence of derivations. The Modified Rota-Baxter operator, which is a modified versio…
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…
Twisted Lie algebras by invertible derivations
Imed Basdouri, Esmael Peyghan, Mohamed Amin Sadraoui
In this paper, we introduce an algebra structure denoted by InvDer algebra whose which we twist an algebra thanks to an invertible derivation, where its inverse is also a derivatio…
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…
Poisson superbialgebras
Imed Basdouri, Mohamed Fadous, Sami Mabrouk +1
We introduce the notion of Poisson superbialgebra as an analogue of Drinfeld's Lie superbialgebras. We extend various known constructions dealing with representations on Lie superb…
Free Hom-groups, Hom-rings and Semisimple modules
Imed Basdouri, Sami Chouaibi, Abdenacer Makhlouf +1
The purpose of this paper is to introduce and study a Hom-type generalization of rings. We provide their basic properties and and some key constructions. Furthermore, we consider m…