Г—环的拟强幂零根及其半单Г—环的刻划  

The Characterization of Quasi-Strongly Nilpotent Radical of Г-Rings and Its Semisimple Г-Rings

作　　者：王尧 周玉英[2] 

机构地区：[1]克山师范专科学校数学系,克山161601 [2]黑龙江商学院,哈尔滨150076

出　　处：《黑龙江大学自然科学学报》1997年第1期17-19,23,共4页Journal of Natural Science of Heilongjiang University

基　　金：黑龙江省教委科研基金

摘　　要：通过引入次拟强幂零理想的概念，定义Г—环的次拟强幂零根，证明它与文[1]定义的拟强幂零根均为Amitsur－Kurosh根，且二者相等。文中给出了拟强幂零半单Г—环的构造命题，得到了拟强幂零根的Г—模刻划。The subquasi-strongly nilpotent radical for every Г-ring is defined bythe concept of subquasi-strongly nilpotent ideal and Which is proved being equal to qua-si-strongly nilpotent redical and, moreover, being Amitsur-Kurosh radical. The structure theo-rem of semisimple Г-rings and characterization by Г-module for quasi-strongly nilpotentradical are obtained respectively.

关 键 词：拟强幂零理想 模 Г环 拟强幂零根 半单Г环 

分 类 号：O153.3[理学—数学]