A COMMUTATIVITY CONDITION FOR RINGS
نویسندگان: ثبت نشده
چکیده مقاله:
In this paper, we use the structure theory to prove an analog to a well-known 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 x-x [x,y]? C for some non negative integer n= n(x,y) dependingon x and y. Then R is commutative.
منابع مشابه
a commutativity condition for rings
in this paper, we use the structure theory to prove an analog to a well-known 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 x-x [x,y]? c for some non negative integer n= n(x,y) dependingon x and y. then r is commutative.
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عنوان ژورنال
دوره 4 شماره 3
صفحات -
تاریخ انتشار 1993-09-01
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