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G-CENTRALIZING MAPPINGS OF SEMIPRIME G-RINGS | ||
| Iraqi Journal of Science | ||
| Article 1, Volume 53, Issue 3, 2012, Pages 657-662 | ||
| Authors | ||
| Abdulrahman H.Majeed; Sameer kadem Motashar | ||
| Abstract | ||
| Let M be a G-Ring with center Z(M) and S a non-empty subset of M. A mapping F from M to M is called G-centralizing on S if [x,F(x)]α= xαF(x)-F(x)αxZ(M) for all xS,αG . we show that a semi-prime Γ-ring M must have a non-trivial central ideal if it admits an endomorphism which is Γ-centralizing on some non-trivial one –sided ideal. | ||
| Keywords | ||
| ring; Derevitions; centralizing; prim G; ring; semi | ||
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