3 problems

Let $A$ be a PI-algebra over a field of characteristic zero, and let $c_n(A)$ denote the dimension of the space of multilinear polynomials of degree $n$ modulo the $T$-ideal of pol…

Let $F$ be an algebraically closed field of characteristic zero. Let $A$ be a finite-dimensional basic algebra with Wedderburn–Malcev decomposition … where $J(A)$ is the Jacobson r…

Let $A$ be a $G$-graded algebra, where $G$ is a finite group, and let $c_n^G(A)$ denote its $n$-th graded codimension. The graded exponent is the limit…