Original scientific paper

An equation related to centralizers in semiprime rings

Joso Vukman
Irena Kosi-Ulbl

Abstract

Let R be a 2-torsion free semiprime ring with extended centroid C and let T : R R be an additive mapping. Suppose that 3T(xyx) = T(x)yx + xT(y)x + xyT(x) holds for all x,y R. Then there exists an element C such that T(x) = x for all x R.

Keywords

Prime ring; semiprime ring; derivation; Jordan derivation; Jordan triple derivation; left (right) centralizer; left (right) Jordan centralizer; centralizer

Hrčak ID:

1318

URI

https://hrcak.srce.hr/1318

Publication date:

1.12.2003.

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