摘要
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.
出处
《湖南大学学报》
EI
CAS
CSCD
1990年第2期124-128,共5页
关键词
群分级环
KRULL维数
NOETHER模
group
groupring
dimension/G-graded ring
G-graded module
krull dimension
Noether-module
