Some results in semiprime rings with derivation

Authors : Emine KOÇ

Pages : 11-20

Doi:10.1501/Commua1_0000000682

View : 17 | Download : 8

Publication Date : 2013-02-01

Article Type : Research Paper

Abstract :Let R be a semiprime ring and S be a nonempty subset of R: A mapping F from R to R is called centralizing on S if [Finsert ignore into journalissuearticles values(x);; x] 2 Z for all x 2 S. The mapping F is called strong commutativity preserving insert ignore into journalissuearticles values(SCP); on S if [Finsert ignore into journalissuearticles values(x);; Finsert ignore into journalissuearticles values(y);] = [x; y] for all x; y 2 S: In the present paper, we investigate some relationships between centralizing derivations and SCP-derivations of semiprime rings. Also, we study centralizing properties derivation which acts homomorphism or anti-homomorphism in semiprime rin
Keywords : Semiprime rings, derivations, centralizing mappings, scp maps