a commutativity condition for rings
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abstract
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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Journal title:
journal of sciences islamic republic of iranجلد ۴، شماره ۳، صفحات ۰-۰
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