In this paper we have shown that if G is a finite group, R a G-graded ring and W an R-module then W is a Noetherian R-module iff W is a Noetherian R(e)-module, aud the Noetherian R-module is equal to the Noetherian R(e)-module about W.

• 本文证明了:当G是有限群时；G-分级环；R-模W是Noether模与W是NoetherR(e)-模等价；且相同.