| Derivations on Semiprime Rings |
| Received:September 17, 1998 |
| Key Words:
Semiprime rings derivations centralizing mapping.
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| Fund Project:Supported by the National Natural Science Foundation of China (19671035) |
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| Abstract: |
| Let R be a semiprime ring with the center Z(R), d and g be derivations of R, L be a nonzero left ideal of R and rR(L) = 0. Suppose that d(x)x - xg(x) ∈ Z(R) for all x ∈ L, then d(R)?Z(R) and the ideal of R generated by d(R) is in the center of R. |
| Citation: |
| DOI:10.3770/j.issn:1000-341X.2002.03.008 |
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