The exponent for superalgebras with superinvolution

In this paper we capture this exponential growth for finitely generated superalgebras with superinvolution A over an algebraically closed field of characteristic zero. We shall prove that limn→∞⁡cn⁎(A)n exists and it is an integer, denoted exp⁎⁡(A) and called ⁎-exponent of A. Moreover, we shall characterize finitely generated superalgebras with superinvolution according to their ⁎-exponent.