Ore extensions satisfying a polynomial identity
arXiv:0707.0173
Abstract
Necessary and sufficient conditions for an Ore extension $S=R[x;\si,\de]$ to be a {\rm PI} ring are given in the case $\si$ is an injective endomorphism of a semiprime ring satisfying the {\rm ACC} on annihilators. Also, for an arbitrary endomorphism of , a characterization of Ore extensions which are {\rm PI} rings is given, provided the coefficient ring is noetherian.
23 pages