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math.RA2024★ 2 cited
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…
math.RA2024★ 1 cited
Differential identities of matrix algebras
Jose Brox, Carla Rizzo
We study the differential identities of the algebra of matrices over a field of characteristic zero when its full Lie algebra of derivations, $L=\mbox{Der}…