119 citations · 903 across the 88 of their papers we have counts for
106 papers
Cohomology, Extensions and Deformations of restricted Lie triple systems
Jon Beristain, Abdenacer Makhlouf
The main purpose of this paper is to provide a cohomology theory of restricted Lie triple systems in low degrees and their algebraic interpretations. We define restricted cochains…
Restricted (Relative) Rota-Baxter operators on restricted Lie algebras and restricted Lie triple systems and related structures
Jon Beristain, Abdenacer Makhlouf
The main purpose of this paper is to define and study the notion of restricted Rota-Baxter operator on restricted Lie algebras and restricted Lie triple systems. We provide the rel…
Structure and Representations of Restricted Lie color triple systems
Jon Beristain, Abdenacer Makhlouf
The main purpose of this paper is to introduce and study restricted Lie color triple systems. We consider first restricted Lie color algebras and then provide a definition and rele…
Varieties of initial dialgebras and some of their Koszul dual operads
Aigerim Dauletiyarova, Abdenacer Makhlouf, Bauyrzhan Sartayev
In this paper, for a given variety $\Var$, we present a universal algorithm for constructing a subvariety of $\Var$-dialgebras from which one can recover an algebra belonging to $\…
On formal deformations and degenerations of evolution algebras
Abdenacer Makhlouf, Andrés Pérez-Rodríguez
The main purpose of this paper is to study formal deformations of evolution algebras, determining their existence and classifying them up to equivalence. In addition, we examine de…
The Superization of Hochschild's Lemma and Restricted Lie-Rinehart Superalgebras
Sofiane Bouarroudj, Quentin Ehret, Abdenacer Makhlouf +1
The main goal of this paper is to introduce the notion of restricted Lie-Rinehart superalgebra over a field of characteristic , motivated by a generalization of Hochschild's l…