张滨龙.满足R—左模同态链归纳条件之环[J].数学研究及应用,1986,6(3):13~15
满足R—左模同态链归纳条件之环
Rings Satisfying the Inductive Condition for Homomorphic Chain of Left R-Modules
投稿时间:1984-02-16  
DOI:10.3770/j.issn:1000-341X.1986.03.004
中文关键词:  
英文关键词:
基金项目:
作者单位
张滨龙 长沙铁道学院科研所 
摘要点击次数: 1463
全文下载次数: 561
中文摘要:
      
英文摘要:
      In this paper, the following results are obtained Theorem 1 Let L(R) be the Levitzki radical of the ring R, then L(R) contains every nil one-sided ideal of R if and only if R satisfies the inductive condition for homomorphic chain of left R-modules on every Levitzki subset.Theorem 2 Let ring R= A + B, where A is a nil left ideal and B is a nil subrin of R, then R is locally nilpotent if and only if R satisfies the inductive condition for horaomorphic chain of left R-modules on every subset of R -L(R).
查看全文  查看/发表评论  下载PDF阅读器