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Reverse *-Centralizers on *-Lie Ideals | ||
| Iraqi Journal of Science | ||
| Article 1, Volume 54, Issue 5, 2013, Pages 1158-1162 | ||
| Author | ||
| Abstract | ||
| The purpose of this paper is to prove the following result : Let R be a 2-torsion free prime *-ring , U a square closed *-Lie ideal, and let T: RR be an additive mapping. Suppose that 3T(xyx) = T(x) y*x* + x*T(y)x* + x*y*T(x) and x*T(xy+yx)x* = x*T(y)x*2 + x*2T(y)x* holds for all pairs x, y U , and T(u) U, for all uU, then T is a reverse *-centralizer. | ||
| Keywords | ||
| Prime; ring; Semiprime; Lie Ideal; reverse; centralizer | ||
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