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On *-Derivation Pairs Of Prime And Simeprime *-Ring | ||
| Al-Mustansiriyah Journal of Science | ||
| Article 1, Volume 22, Issue 5, 2011, Pages 328-334 | ||
| Author | ||
| A. H. Majeed | ||
| Abstract | ||
| Let R be a *-ring, The purpose of this paper is to prove the following result: (1) Let R be a non-commutative prime *-ring with an identity element which is 6- torsion free. Then R is normal if and only if there exists a non-zero commuting Jordan *- derivation pair. (2) Let R be a 2-torsion free semiprime *-ring, and let (d,g) be a *-derivation pair satisfies d(xy+yx)=g(xy+yx)=0 for all x,y R, then d=g=0. (3) Let R be a 2-torsion free semiprime *-ring, then there is no *-derivation pair (d,g) satisfies g(xy+yx)= d(xy+yx)=xy+yx for all x, y R. | ||
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