Abstract
All PI-algebras R satisfy identities of the form: f ∗[x, y] = Σ α σx σ(1)y 1x σ(2)y 2 … y n − 1x σ(n) (Theorem A.) The existence of these identities imply also that cocharacters x n ( R) lie in a hook-shaped strip of width depending on the degree of the minimal identity of R (Theorem C). This extends a characterization of rings satisfying a Capelli identity (Theorem B).
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