3 papers
math.RA2025
Varieties of graded -algebras and asymptotic behavior of codimension growth
Giovanni Busalacchi, Fabrizio Martino, Carla Rizzo
Let be a -graded algebra over a field of characteristic zero, where is a finite group. We develope a theory of generalized -graded polynomial identities satisfied by…
math.RA2025
Multipliers, -algebras and the growth of generalized polynomial identities
Fabrizio Martino, Carla Rizzo
Let be a -algebra over a field of characteristic zero, where is any -algebra. We first develop a comprehensive theory of generalized identities independent of the…
math.RA2024
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…