On some equations related to derivations in rings
Let m and n be positive integers with m+n≠0, and let R be an (m+n+2)!-torsion free semiprime ring with identity element. Suppose there exists an additive mapping D:R→R, such that D(xm+n+1)=(m+n+1)xmD(x)xn is fulfilled for all x∈R, then D is a derivation which maps R into its center.
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2005-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/IJMMS.2005.2703 |
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