A note on liberal extensions with automorphisms

Abstract

We consider a ring R, a liberal extension S of R, a group G whose elements act as R-automorphisms on the ring Sand 196 an intermediate extension T of R such that aCT) = T for all a E G. It is shown that an ideal Q of T is a G-prime ideal (resp. G-primitive ideal) if and only if Q is the maximum G-subideal of a prime (resp. primitive) ideal of T.