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kasetsart journal natural science

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2. If d is a Jordan derivation on a<br />

commutative ring R and P is a semiprime ideal of<br />

R (or prime ideal of R such that P≠R) for which<br />

R/P has characteristic-free, then d(P) ⊆ P if and<br />

only if d n (P) ⊆ P for all positive integer n≥2.<br />

ACKNOWLEDGEMENTS<br />

This work was supported by a grant from<br />

the Graduate School, Kasetsart University.<br />

Kasetsart J. (Nat. Sci.) 40(1) 263<br />

LITURATURE CITTED<br />

Creedon, T. 1998. Derivations and prime ideals.<br />

Mathematical Proceedings of the Royal<br />

Irish Academy. 2: 223-255.<br />

Herstein, I.N. 1957. Jordan derivations of prime<br />

rings. Proceedings of the American<br />

Mathematical Society. 8: 1104-1110.

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