摘要 : The finite dimensional simple superalgebras play an important role in the theory of PI-algebras in characteristic zero. The main goal of this paper is to characterize the T (2)-ideal of graded identities of any such algebra by con... 展开 The finite dimensional simple superalgebras play an important role in the theory of PI-algebras in characteristic zero. The main goal of this paper is to characterize the T (2)-ideal of graded identities of any such algebra by considering the growth of the corresponding supervariety. We consider the T (2)-ideal I" (M+1,L+1) generated by the graded Capelli polynomials C a p (M+1)[Y,X] and C a p (L+1)[Z,X] alternanting on M+1 even variables and L+1 odd variables, respectively. We prove that the graded codimensions of a simple finite dimensional superalgebra are asymptotically equal to the graded codimensions of the T (2)-ideal I" (M+1,L+1), for some fixed natural numbers M and L. In particular 收起