Kr. Goodearl et Es. Letzter, SKEW POLYNOMIAL EXTENSIONS OF COMMUTATIVE NOETHERIAN JACOBSON RINGS, Proceedings of the American Mathematical Society, 123(6), 1995, pp. 1673-1680
The Jacobson condition (i.e., that all prime ideals are semiprimitive)
is proved to pass from a commutative noetherian ring R to a skew poly
nomial ring R[gamma;tau,delta], assuming only that tau is an automorph
ism.