In this talk, we deal with varieties of PI-superalgebras with graded involution of finite basic rank over a field of characteristic zero and we present some recent results concerning the minimality of these varieties (of fixed *-graded exponent) and the factorability of their *-graded polynomial identities.

This video was produced by the Universidade de São Paulo, as part of the LieJor Online Seminar: Algebras, Representations, and Applications.