A note on automorphisms of prime and semiprime rings

Ali, Asif; Yasen, Muhammad

J. Math. Kyoto Univ., Tome 45 (2005) no. 4, p. 243-246 / Harvested from Project Euclid

Résumé

Let $f$ be a centralizing automorphism of a semiprime ring $R$. Then for all $x \in R (f(x) - x) \in Z(R)$; that is the mapping $f -1$ maps $R$ into its centre.

Publié le : 2005-05-15
Classification: 16W20, 16N60

@article{1250281987,
     author = {Ali, Asif and Yasen, Muhammad},
     title = {A note on automorphisms of prime and semiprime rings},
     journal = {J. Math. Kyoto Univ.},
     volume = {45},
     number = {4},
     year = {2005},
     pages = { 243-246},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1250281987}
}

Ali, Asif; Yasen, Muhammad. A note on automorphisms of prime and semiprime rings. J. Math. Kyoto Univ., Tome 45 (2005) no. 4, pp.  243-246. http://gdmltest.u-ga.fr/item/1250281987/