2 papers
math.RA2026
On anti-left-invariant and left-invariant pseudo-Euclidean nearly associative algebras
Elisabete Barreiro, Said Benayadi, Hamza El Ouali +1
We introduce the notions of anti-left-invariant and left-invariant pseudo-Euclidean nearly associative algebras, which arise as nearly associative Levi-Civita products associated w…
math.RA2025
Bialgebra theory for nearly associative algebras and -algebras: equivalence, characterization, and -Yang-Baxter Equation
Elisabete Barreiro, Saïd Benayadi, Carla Rizzo
We develop the bialgebra theory for two classes of non-associative algebras: nearly associative algebras and -algebras. In particular, building on recent studies that reveal co…