魏宗宣.关于半素环交换性的一点注记[J].数学研究及应用,1985,5(4):109~110
关于半素环交换性的一点注记
A note on the commutativity of semiprime rings
投稿时间:1983-12-19  
DOI:10.3770/j.issn:1000-341X.1985.04.026
中文关键词:  
英文关键词:
基金项目:
作者单位
魏宗宣 湖南教育学院 
摘要点击次数: 1875
全文下载次数: 936
中文摘要:
      
英文摘要:
      Awtar proved that a semiprime ring R in which xy2x-yx2y∈Z(center of R)for every x and y in R is commutative. Guo Yuanchun proved that a semiprime ring satisfying (xy)2-xy2x∈Z for every x and y in R is commutative. In this note the following result is proved:A semiprime ring is commutative if R satisfies one of the following conditions:(1) x2y2 -xy2x∈Z for every x and y in R.(2) x2y2-yx2y-y∈Z for every x and y in R.(3) (yx)2 -xy2x∈Z for every x and y in R.
查看全文  查看/发表评论  下载PDF阅读器