June 2012
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110 Reads
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3 Citations
In this paper, firstly as a short note, we prove that a left derivation of a semiprime -ring M must map M into its center, which improves a result by Paul and Halder and some results by Asci and Ceran. Also we prove that a semiprime -ring with a strong commutativity preserving derivation on itself must be commutative and that a strong commutativity preserving endomorphism on a semiprime -ring M must have the form where is a map from M into its center, which extends some results by Bell and Daif to semiprime -rings.