首页 | 本学科首页   官方微博 | 高级检索  
     检索      

半质环的交换性条件
引用本文:傅昶林,郭元春.半质环的交换性条件[J].数学学报,1995,38(2):242-247.
作者姓名:傅昶林  郭元春
作者单位:哈尔滨科学技术大学数学系,吉林大学数学系
摘    要:本文对满足可变恒等式的半质环在某种有界条件下给出了一个判断环R交换性的简便准则,使文献[2-27]中所有相应结果均成为其直接推论.此外,对不限有界的情况,也得到较为广泛的结论.

关 键 词:半质环,交换性,可变恒等式
收稿时间:1992-3-26
修稿时间:1993-3-28

Commutative Conditions for Semiprime Rings
Fu Changlin.Commutative Conditions for Semiprime Rings[J].Acta Mathematica Sinica,1995,38(2):242-247.
Authors:Fu Changlin
Institution:Fu Changlin(Harbin University of Science and Technology, Harbin 150080,China)Guo Yuanchun(Jilin University, Changchun 130023, China)
Abstract:Let R be a semiprime ring and C the center of R. In this paper following results areobtained:1.Suppose for any x_1,…,x_n∈R, there exists a polynomial f(t_1,…,t_n)(f dependingon x_1,…,x_n) such that f(x_1,…,x_n)∈C. If these polynomials satisfy the bounded condition,the sums of some coefficients of each f prime to each other, then R is commutative, which isageneralization of all related results in 2-27]. If f ls a polynomial, the sum of coefficients satisfiessome conditions, and for any x_1,…,x_n∈R, there exists an integer m(x_1,…,x_n)> 1 such thatf(x_1,…,x_n) ̄m(x_1,…,x_n)=f(x_1,…,x_n), then R is commutative.
Keywords:semiprime rings  commutative  variable identities
本文献已被 CNKI 维普 等数据库收录!
点击此处可从《数学学报》浏览原始摘要信息
点击此处可从《数学学报》下载免费的PDF全文
设为首页 | 免责声明 | 关于勤云 | 加入收藏

Copyright©北京勤云科技发展有限公司  京ICP备09084417号