г－环的幂零根与拟幂零根

THE NILPOTENT RADICAL AND QUASI-NILPOTENT RADICAL OF г-RING

定义了г－环的幂零根和拟幂零根，给出幂零根存在的若干条件，证明拟幂零根是Ａｍｉｔ－ｓｕｒ－Ｋｕｒｏｓｈ根，给出它的半单г－环的构造命题和г－模刻划．

in this paper,the notions of nilpotent radical and quasi-nilpotent radical of Prings are introducted,some conditions of nilpotent radical exist are represented and quasinilpotent radical is Amitsur-Kurosh radical is proved.Moreover,the structure theorenl ofsemisimple г- rings and г-module characterization for quasi-nilpotent radical are obtained.