An identity related to centralizers in semiprime rings
Vukman, Joso
Commentationes Mathematicae Universitatis Carolinae, Tome 40 (1999), p. 447-456 / Harvested from Czech Digital Mathematics Library
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The purpose of this paper is to prove the following result: Let $R$ be a $2$-torsion free semiprime ring and let $T:R\rightarrow R$ be an additive mapping, such that $2T(x^2)=T(x)x+xT(x)$ holds for all $x\in R$. In this case $T$ is left and right centralizer.

Publié le : 1999-01-01
Classification:  16A12,  16A68,  16A72,  16N60,  16R50,  16W10,  16W20 
@article{119101,
     author = {Joso Vukman},
     title = {An identity related to centralizers in semiprime rings},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     volume = {40},
     year = {1999},
     pages = {447-456},
     zbl = {1014.16021},
     mrnumber = {1732490},
     language = {en},
     url = {http://dml.mathdoc.fr/item/119101}
}

Vukman, Joso. An identity related to centralizers in semiprime rings. Commentationes Mathematicae Universitatis Carolinae, Tome 40 (1999) pp. 447-456. http://gdmltest.u-ga.fr/item/119101/

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