Some results in semiprime rings with derivation

Year 2013, Volume: 62 Issue: 1, 11 - 20, 01.02.2013

Emine Koç

https://doi.org/10.1501/Commua1_0000000682

Abstract

Some results in semiprime rings with derivation

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 [F(x); x] 2 Z for all
x 2 S. The mapping F is called strong commutativity preserving (SCP) on
S if [F(x); F(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

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