Г－环的一致强素根

本文对Г－环引入一致强素Г－环与一致强素Г－模的概念，对Г－环Ｍ定义了一致强素根τ（Ｍ），证明了Ｍ的子集Ｐ是Г－环Ｍ的一致素理想当且仅当Ｐ是某一致强素ГＭ－模Ｇ的零化子。假若Ｒ是Г－环Ｍ的右算子环，我们证明了τ（Ｍ＿（ｍ，ｎ））＝τ（Ｍ）＿（ｍ，ｎ）且若Ｒ是左ｄｕｏ环有τ（Ｒ）＊＝τ（Ｍ），此外，建立了一致强素ГＭ－模与一致强素Ｒ－模之间的关系。

On Uniformly Strongly Prime Radical of Camma Rings

The concepts of uniformly strongly prime(us-prime)and us-prime moduleare introduced for Г-rings,and a us-prime radical τ(M)is defined for a -ring M,It isproved that a subset P of M is a us-prime ideal of M if and only if P is the annihilator ofsome us-prime ГM-module G.Relationships between us-prime ГM-modules andus-prime R-modules are established,where R is the right operator ring of M. we also showthat τ(M m n)=τ(M)m n and if R is left duo,then τ(R)*=τ(M).