Glasnik matematički, Vol. 38 No. 2, 2003.
Izvorni znanstveni članak
An equation related to centralizers in semiprime rings
Joso Vukman
Irena Kosi-Ulbl
Sažetak
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.
Ključne riječi
Prime ring; semiprime ring; derivation; Jordan derivation; Jordan triple derivation; left (right) centralizer; left (right) Jordan centralizer; centralizer
Hrčak ID:
1318
URI
Datum izdavanja:
1.12.2003.
Posjeta: 573 *