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math.RA2026
Anti-quadratic nearly associative algebras
Sofiane Bouarroudj, Hamza El Ouali
An anti-quadratic nearly associative algebra is a nearly associative algebra equipped with a non-degenerate skew-symmetric bilinear form satisfying the anti-a…
math.RA2026
On flat pseudo-Euclidean solvable Malcev algebras
Mohamed Boucetta, Hamza El Ouali, Oumaima Tibssirte
A pseudo-Euclidean Malcev algebra is a Malcev algebra equipped with a non-degenerate symmetric bilinear form. In this paper, we introduce a curvature operator for pseudo-Euclidean…