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JORDAN *-DERIVATIONS ON PRIME AND SEMIPRIME *-RINGS | ||
| Journal of Al-Qadisiyah for Computer Science and Mathematics | ||
| Article 1, Volume 2, Issue 1, 2010, Pages 1-9 PDF (0 K) | ||
| Authors | ||
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| Abstract | ||
| Let R be a 2-torsion free *-ring, and d: R→R be a Jordan *-derivation. In this paper we prove the following results: (1) If R is a non-commutative prime *-ring, and d(h) h + h d(h) Z(R) for all h H(R), then d(h) =0 for all h H(R).(2) If R be a non-commutative prime *-ring, and d([x,y])= [x,y] for all x, y R, then R is normal *-ring.(3) If R is a semiprime *-ring, then there is no d satisfies d(xy+yx)=xy+yx for all x, y R, where H(R)={x; x R s.t x*=x }. | ||
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