University of Tehran
Journal of Sciences, Islamic Republic of Iran
10161104
4
3
1993
09
01
A COMMUTATIVITY CONDITION FOR RINGS

31565
EN
Journal Article
1970
01
01
In this paper, we use the structure theory to prove an analog to a wellknown
theorem of Herstein as follows: Let R be a ring with center C such that for all x,y ?
R either [x,y]= 0 or xx [x,y]? C for some non negative integer n= n(x,y) dependingon x and y. Then R is commutative.
https://jsciences.ut.ac.ir/article_31565_e521d2c7264273cb2715d1d9feacd431.pdf