A commutativity and finiteness condition for rings

被引：0
|
作者：
H. E. Bell
A. A. Klein
机构：
[1] Department of Mathematics,
[2] Brock University,undefined
[3] St. Catharines,undefined
[4] Ontario,undefined
[5] Canada L2S 3A1,undefined
[6] ¶e-mail: hbell@brocku.ca,undefined
[7] School of Mathematical Sciences,undefined
[8] Tel Aviv University,undefined
[9] Tel Aviv 69978,undefined
[10] Israel,undefined
[11] ¶e-mail: aaklein@post.tau.ac.il,undefined
来源：
Archiv der Mathematik | 2003年 / 80卷 / 4期
关键词：
Mathematics Subject Classification (2000): 16U80.;
D O I：
10.1007/s00013-003-4604-5
中图分类号：
学科分类号：
摘要：
We prove that if a ring R has the property that XY = YX for all infinite subsets X and Y, then R is either finite or commutative.
引用
收藏
页码：354 / 357
页数：3
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