54 citations · 273 across the 53 of their papers we have counts for
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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…
Almost-simple algebraic supergroups
S. Bouarroudj, A. N. Zubkov
We describe certain almost-simple algebraic supergroups over an algebraically closed field of odd or zero characteristic. In addition to supergroups with simple Lie superalgebras f…
Flat quasi-Frobenius Lie superalgebras
Sofiane Bouarroudj, Hamza El Ouali
A non-associative superalgebra is called pre-symplectic if it is equipped with a non-degenerate, anti-symmetric bilinear form. It is called quasi-Frobenius if, in addition, is a Li…
Flat pseudo-Euclidean Leibniz superalgebras
Saïd Benayadi, Sofiane Bouarroudj, Hamza El Ouali
In this paper, we introduce pre-Lie and pre-Leibniz superalgebras, which generalize pre-Lie and pre-Leibniz algebras to the super setting. Additionally, we define a Levi-Civita pro…
On Zinbiel and Tortkara superalgebras
Sofiane Bouarroudj, Farukh Mashurov
In this paper, we study Zinbiel superalgebras and special Tortkara superalgebras, highlighting key differences between the super and the non-super setting. We present examples of Z…
Cohomology of Restricted Poisson algebras in characteristic 2
Sofiane Bouarroudj, Quentin Ehret, Jiefeng Liu
In this paper, we study restricted Poisson algebras in characteristic 2 and their relationship with restricted Lie-Rinehart algebras, for which we develop a cohomology theory and i…
Left-symmetric superalgebras and Lagrangian extensions of Lie superalgebras in characteristic 2
Saïd Benayadi, Sofiane Bouarroudj, Quentin Ehret
The purpose of this paper is twofold. First, we introduce the notions of left-symmetric and left alternative structures on superspaces in characteristic 2. We describe their main p…