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N - Commuting Maps on Semiprime Rings | ||
| Iraqi Journal of Science | ||
| Article 1, Volume 48, Issue 1, 2007, Pages 172-177 | ||
| Authors | ||
| Samer K. Hassin; A. H. Majeed; Adil G. Naoum | ||
| Abstract | ||
| Let R be a ring with center , and n, m are arbitrary positive integers. We show that a semiprime ring R with suitable - restriction must contain a nonzero central ideal, if it admits a derivation d which is nonzero on a non trivial left ideal U of R and the map satisfies one of the following:i- n - commuting on U.ii- n - skew - commuting on U. | ||
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