## Joso Vukman

*Centralizers on semiprime rings *

Comment.Math.Univ.Carolinae 42,2 (2001) 237-245. **Abstract:**The main result: Let $R$ be a $2$-torsion free semiprime ring and let $T:R\rightarrow R$ be an additive mapping. Suppose that $T(xyx) = xT(y)x$ holds for all $x,y\in R$. In this case $T$ is a centralizer.

**Keywords:** prime ring, semiprime ring, derivation, Jordan derivation, Jordan triple derivation, left (right) centralizer, left (right) Jordan centralizer, centralizer

**AMS Subject Classification:** 16A12, 16A68, 16A72

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