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Smash积的R-不交理想
引用本文:郭广泉,赵文正.Smash积的R-不交理想[J].河南师范大学学报(自然科学版),1994(4).
作者姓名:郭广泉  赵文正
作者单位:滁州师专数学系,河南师范大学数学系
摘    要:本文定义了有限群G分次环R与群G的Smash积R-不交理想和闭理想,讨论了闭理想的性质及R#G的极大R-不交理想P的素性、本原性与R的gr-素性,gr-本原性之间的关系.

关 键 词:Smash积  R-不交理想  闭理想

Closed and R-disjoint Ideals in Smash Products
Guo Guangquan.Closed and R-disjoint Ideals in Smash Products[J].Journal of Henan Normal University(Natural Science),1994(4).
Authors:Guo Guangquan
Abstract:In this paper,the closed and R-disjoint ideals in Smash product R# G are defined,where G is a finite group and R is a graded ring of type G with identity.We discuss the relationship be-tween G-graded ring R and maximal R-disjoint ideal in R#G.
Keywords:closed ideal  R-disjoint ideal  Smash products
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