满足R-左模同态链归纳条件的环及满足R-左循环模极小元条件的环  

RINGS SATISFYING THE LIDUCTIVE CONDITION FOR HOMOMORPHIC CHAIN OF LEFT R-MODULES AND RINGS SATISFYING THE MINIMAL ELEMENT CONDITION FOR LEFT R-CYCLE MLDULES

作　　者：王文举[1] 张敏[1] 

机构地区：[1]四平师范学院

出　　处：《松辽学刊（自然科学版）》1992年第1期34-36,共3页Songliao Journal (Natural Science Edition)

摘　　要：本文利用R—左模同态链归纳条件和R—左循环模极小元条件改进并推广了[2]中的结果,讨论了诣零性和近似幂零性的关系,并引入Baer子集的概念,给出了环R的Baer根包含R的每个诣零单侧理想的几个充要条件。In this paper, We use the inductive Condition for homomorphic Chain of Left R-modules improve and generalize the results in. Discuss the relation between nil property and approximate nilpotent property ,and introduce the Concept of Baer subset,give some sufficent and neccessary conditions for the Baer radical of R contains every nil one-sided ideal of R.

关 键 词：环 诣零性 近似幂零性 BAER根 理想 

分 类 号：O153.3[理学—数学]