2 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
Cocharacters of generalized polynomial identities
Sebastiano Argenti, Giovanni Busalacchi
In this paper we extend the cocharacter theory to generalized identities of -algebras. We prove that the Hilbert series of the relatively free -algebra admits an expansion in…