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ON ORTHOGONAL REVERSE DERIVATIONSOF SEMIPRIME RINGS | ||
| Iraqi Journal of Science | ||
| Article 1, Volume 50, Issue 1, 2009, Pages 84-88 | ||
| Author | ||
| Abdul Rhman.H.Majeed | ||
| Abstract | ||
| In this paper some results concerning two reverse derivations on semiprime rings are presented. These results are related to a result which is inspired by the classical result of E. Posner. This result is asserts that if R is a 2- torsion free semiprime ring, f and h are non-zero reverse derivations of R. Then f h can not be a non-zero derivation. A notion of orthogonal reverse derivations arises here.Key word and phrases: prime ring, semi-prime ring, derivation, reverse derivation, orthogonal reverse derivation. | ||
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