具特殊左零化子集极大元条件的环  

THE RING WITH THE MAXIMAL CONDITION ON SPECIAL LEFT ANNIHILATORS ON A CERTAIN SUBSET

作　　者：洪平洲[1] 

机构地区：[1]赣南师范学院数学系

出　　处：《赣南师范学院学报》1991年第6期22-28,共7页Journal of Gannan Teachers' College(Social Science(2))

摘　　要：本文在结合环中引进了特殊左零化子集极大元条件,讨论了具这条件之环的性质,研究了环的BAER根、Levitzki根及Kothe根彼此间相等与幂零的充要条件,同时还给出了环的幂零根存在的充要条件。In this paper, the maximal condition on special left annihilators on a certain subset is introduced into associative lings, the properties of the ting with this condition are discussed, the sufficient and necessary conditions that the Baer radical,Levitzki radical and Kothe radical of a ring are equal and nilpotent respectively are studied, by the way, the sufficient and necessary conditions of the existence of the nilpotent radical are given too.

关 键 词：环论 结合环 幂零 根 BAER根 

分 类 号：O153.3[理学—数学]