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.
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.
欧阳敏.关于群分级环的Krull维数[J].湖南大学学报：自然科学版,1990,17(2):
