On centralizers of semiprime rings
Zalar, Borut
Commentationes Mathematicae Universitatis Carolinae, Tome 32 (1991), p. 609-614 / Harvested from Czech Digital Mathematics Library
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Let $\Cal K$ be a semiprime ring and $T:\Cal K\rightarrow \Cal K$ an additive mapping such that $T(x^2)=T(x)x$ holds for all $x\in \Cal K$. Then $T$ is a left centralizer of $\Cal K$. It is also proved that Jordan centralizers and centralizers of $\Cal K$ coincide.

Publié le : 1991-01-01
Classification:  16N60,  16U70,  16W10,  16W20,  16W25 
@article{118440,
     author = {Borut Zalar},
     title = {On centralizers of semiprime rings},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     volume = {32},
     year = {1991},
     pages = {609-614},
     zbl = {0746.16011},
     mrnumber = {1159807},
     language = {en},
     url = {http://dml.mathdoc.fr/item/118440}
}

Zalar, Borut. On centralizers of semiprime rings. Commentationes Mathematicae Universitatis Carolinae, Tome 32 (1991) pp. 609-614. http://gdmltest.u-ga.fr/item/118440/

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