WEI Feng, CHENG Hui-wen. On the Commutativity of Rings with Generalized DerivationsJ. Transactions of Beijing institute of Technology, 2004, (10): 935-938.
Citation:
WEI Feng, CHENG Hui-wen. On the Commutativity of Rings with Generalized DerivationsJ. Transactions of Beijing institute of Technology, 2004, (10): 935-938.
WEI Feng, CHENG Hui-wen. On the Commutativity of Rings with Generalized DerivationsJ. Transactions of Beijing institute of Technology, 2004, (10): 935-938.
Citation:
WEI Feng, CHENG Hui-wen. On the Commutativity of Rings with Generalized DerivationsJ. Transactions of Beijing institute of Technology, 2004, (10): 935-938.
On the Commutativity of Rings with Generalized Derivations
Suppose that R is a 2-torsion free prime ring, and δ a generalized derivation of R. In the paper is investigated the commutativity of the ring R satisfying any one of the propertities: ① δ(x,y)=x,y; ② δ(xy)=(xy); ③ δ(x),x=0, for all x,y in some apropriate subset of R.
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