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On centralizers of semiprime rings

Borut Zalar — 1991

Commentationes Mathematicae Universitatis Carolinae

Let 𝒦 be a semiprime ring and T : 𝒦 𝒦 an additive mapping such that T ( x 2 ) = T ( x ) x holds for all x 𝒦 . Then T is a left centralizer of 𝒦 . It is also proved that Jordan centralizers and centralizers of 𝒦 coincide.

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