2 citations · 5 across the 24 of their papers we have counts for
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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…