American Mathematical Society (AMS). Contemporary Mathematics
Abstract
Let (A,∗) be a ∗-PI algebra with involution over a field of characteristic zero and let cm(A,∗) denote its m-th ∗-codimension. Giambruno and Zaicev, in [\textit{Involution codimension of finite dimensional algebras and exponential growth}, J. Algebra \textbf{222} (1999), 471--484], proved that, if A is finite dimensional, there exists the limm→+∞mcm(A,∗), and it is an integer, which is called the \emph{∗-exponent} of A. As a consequence of the presence of this invariant, it is natural to introduce the concept of \emph{∗-minimal algebra}. Our goal in this paper is to move some steps towards a complete classification of ∗-minimal algebras