摘要
Ｇ是群，Ｒ是Ｇ－分次环．本文将有限群Ｇ分次环Ｒ与Ｇ的ｓｍａｓｈｐｒｏｄｕｃｔＲ＃Ｇ￣＊的理想交性质推广到无限群的情形．证明了：Ｇ是无限群，Ｒ是非奇异Ｇ－分次环．Ｒ与Ｇ的广义ｓｍａｓｈｐｒｏｄｕｃｔＲ＃Ｇ￣＊有理想交性质的充要条件，对任意０≠ａ＿ｅ∈Ｒ＿ｅ．
Let G be a finite group and R a graded ring.In this paper,we generalize the ideal intersection property of smash product into an infinitegroup version. Now if G is an infinite group,R a non-degenerate G-graded ringand a general smash prodoct,it is shown that the has ideal intersectionproperty, if and only if for any 0≠a_e∈R_e.
出处
《数学进展》
CSCD
北大核心
1994年第6期563-566,共4页
Advances in Mathematics（China）
关键词
理想交性质
无限群
分次环
SMASH积
ideal intersection property
general smash product
gr-primitive ring
