强素Γ－模  

ON STRONGLYPRIME GAMMA MODULES

作　　者：王顶国[1] 

机构地区：[1]曲阜师范大学数学系

出　　处：《曲阜师范大学学报（自然科学版）》1994年第S1期91+85-90,共7页Journal of Qufu Normal University(Natural Science)

摘　　要：类似环上模定义Γ－环Ｍ的强素模的概念，通过强素ＭΓ－模给出Ｍｒ－模的强素根的刻划．引入ｓｆ－系的概念，并用它刻划强素模、强素根．讨论了Γ－环Ｍ的强素模与Γ－环Ｍ的右算子环Ｒ的强素模之间的关系．A strongly prime MT-module of a ring M is defined.The characterizatiOn of the strongly prime radical of M-modules via strongly prime M-modules is given, The notlon of s f-system is introduced and strongly prime modules are characterized using it. Both of the above are analogous to the known descriptions of the prime radical in rings. The relationship of strongly prime medules of -ring Mto the corresponding module of the right operator ring R ofMis stud-ied.

关 键 词：Γ-I环 强素Γ-环 强索Γ-模 强素根sf-系 

分 类 号：O151.2[理学—数学]