Ore extensions satisfying a polynomial identity
Abstract
Necessary and sufficient conditions for an Ore extension S=R[x;,] to be a PI ring are given in the case is an injective endomorphism of a semiprime ring R satisfying the ACC on annihilators. Also, for an arbitrary endomorphism τ of R, a characterization of Ore extensions R[x;τ] which are PI rings is given, provided the coefficient ring R is noetherian.
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