An Orthogonal Left Centralizer and Reverse Left Centralizer on Semiprime Rings

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Fawaz Ra'ad Jarullah

Abstract

Let R be a semiprime ring. Then we prove the following main result:
Let R be a 2-torsion free semiprime ring, t be a left centralizer and h be a reverse left
centralizer of R, suppose that t2 = h2 . Then t + h and t – h are orthogonal.

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