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An Equation Related To Jordan *-Centralizers | ||
| Journal of Al-Qadisiyah for Computer Science and Mathematics | ||
| Article 1, Volume 3, Issue 2, 2011, Pages 1-8 PDF (0 K) | ||
| Authors | ||
| ; | ||
| Abstract | ||
| Let R be a *-ring, an additive mapping T: R →R is called A left (right) Jordan *-centralizer of a *-ring R if satisfies T(x2)=T(x) x* (T(x2)= x*T(x)) for all x R. A Jordan *-centralizer of R is an additive mapping which is both left and right Jordan *-centralizer. The purpose of this paper is to prove the result concerning Jordan *-centralizer. The result which we refer state as follows: Let R be a 2-torsion free semiprime *-ring and let T: R R be an additive mapping such that 2T(x2) = T(x) x* + x* T(x) holds for all x R. In this case, T is a Jordan *-centralizer | ||
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