谢邦杰.关于周期环与Jacobson环的几个定理[J].数学研究及应用,1982,2(2):11~13
关于周期环与Jacobson环的几个定理
Some Theorems Concerning Periodic Rings and Jacobson Rings
投稿时间:1981-08-12  
DOI:10.3770/j.issn:2095-2651.1982.02.003
中文关键词:  
英文关键词:
基金项目:
作者单位
谢邦杰 吉林大学 
摘要点击次数: 1837
全文下载次数: 1179
中文摘要:
      
英文摘要:
      A ring R is called a periodic ring, if for every x∈R there exist two distinct positive integers m(x) and n(x) such that xm(x)=xn(x)(cf. [1]), in particularly, if m(x) = 1 for any x∈R. then this periodic ring is called a Jacobson ring (cf. [2]).In this paper, a necessary and sufficient condition for a ring to be a Jacobson ring is given and some necessary and sufficient conditions for a periodic ring or a Jacobson ring to be a field are also given.
查看全文  查看/发表评论  下载PDF阅读器