3 papers
math.AC2026
Rota-Baxter Operators on Dual Quaternion Algebra
Hassan Oubba, Azhar Farooq, Kamran Shakoor
The purpose of this paper is to determine all Rota-Baxter operators on dual quaternion algebra over the reals.
math.RA2025
Biderivations, local and 2-local derivation and automorphism of simple -Lie algebras
Hassan Oubba
Given a finite-dimensional complex simple -Lie algebras over . We prove that every local ,local derivation is a derivation and every local (resp.…
math.RA2025
On conservative algebras of 2-dimensional Algebras
Hassan Oubba
In 1990 Kantor introduced the conservative algebra of all algebras (i.e. bilinear maps) on the -dimensional vector space. In case the algebra $\mathcal{W…