Derivations in prime rings |
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Authors: | Qing Deng |
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Institution: | 1. Department of Mathematics, Southwest China Teachers University, 630715, Chongqing, People's Republic of China
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Abstract: | LetR be a prime ring andD a nonzero derivation ofR. If one of the four conditions holds inR, thenR is commutative:- (i)
X 2D(X)?D(X)X2∈Z(R), CharR≠2;
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