On Commutativity of Rings With Derivations |
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| Authors: | Mohammad Ashraf Nadeem-ur Rehman |
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| Institution: | 1. Department of Mathematics Faculty of science, King Abdul Aziz University, P.O. Box. 80203, Jeddah, 21589, Saudi-Arabia
2. Department of Mathematics, Aligarh Muslim University, Aligarh, India
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| Abstract: | Let R be a ring and d : R → R a derivation of R. In the present paper we investigate commutativity of R satisfying any one of the properties (i)d(x,y]) = x,y], (ii)d(x o y) = xoy, (iii)d(x) o d(y) = 0, or (iv)d(x) o d(y) = x o y, for all x, y in some apropriate subset of R. |
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