Generalized Commuting Mapping in Prime and Semiprime Rings
Derivation
Semiderivations
Commuting mapping
Prime ring
Semiprime rings
Let R be an associative ring. The essential purpose of the present paper is to introduce the concept of generalized commuting mapping of R. Let U be a non-empty subset of R, a mapping : R R is called a generalized commuting mapping on U if there exist a mapping :R R such that =0, holds for all U. Some results concerning the new concept are presented.
