| 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 |
| |
| 引用本文： | 王文举,张敏.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[J].松辽学刊,1992(1). |
| |
| 作者姓名： | 王文举 张敏 |
| |
| 作者单位： | 四平师范学院
(王文举)，四平师范学院(张敏) |
| |
| 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。
|
| 关 键 词： | R-左模同态链归纳条件 R-左循环模板小元条件 Baer子集 近似幂零性 |
RINGS SATISFYING THE LIDUCTIVE CONDITION FOR HOMOMORPHIC CHAIN OF LEFT R-MODULES AND RINGS SATISFYING THE MINIMAL ELEMENT CONDITION FOR LEFT R-CYCLE MLDULES |
| |
| Wang Wenju Zhang Min.RINGS SATISFYING THE LIDUCTIVE CONDITION FOR HOMOMORPHIC CHAIN OF LEFT R-MODULES AND RINGS SATISFYING THE MINIMAL ELEMENT CONDITION FOR LEFT R-CYCLE MLDULES[J].Songliao Journal (Natural Science Edition),1992(1). |
| |
| Authors: | Wang Wenju Zhang Min |
| |
| Institution: | Siting Normal Oollegfi |
| |
| Abstract: | 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. |
| |
| Keywords: | the Inductive conditon for homomorphic chain of left R-modules Baer subset Approximate nilpo- tcnt property |
| 本文献已被 CNKI 等数据库收录！ |
