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
volume 4 issue 3
pages -
publication date 1993-09-01
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