关于Γ─环的─致强素根

ON UNIFORMLY STRONGLY PRIME RADICAL OF GAMMA RINGS

将一致强素（简称ｕｓ—素）的概念引入到Γ─环，对Γ－环Ｍ定义了ｕｓ—素根τ（Ｍ）．证明了ｕｓ－素Γ－环类与ｕｓ—素Γ－模类是特殊类，同时证明了Ｍ的子集Ｐ是Ｍ的ｕｓ—素理想当且仅当Ｐ是某ｕｓ—素ΓＭ－模Ｇ的零化子．

The concepts of uniformly strongly prime (us-prime)and us-prime module are introduced for Fat rings,and a us-prime radical τ(M) is define(l for a Γ-ring M. It is proved that the classes of all us - prime Γ- rings and that of all us-prime Γ- modules are special claSS. We also show that a subset P of M is a us-prime ideal of M if and only if P is the annihilator of some us-prime ΓM -module G.