Affiliation:
1. Department of Mathematics, Faculty of Science, Kasetsart University, Bangkok, Thailand
Abstract
The main purpose of this paper is to describe the structure of a pair of additive mappings that are commuting on a semiprime ring. Furthermore, we prove that the existence of different commuting epimorphisms on a prime ring forces the ring to be commutative. Finally, we characterize additive mappings, which act as homomorphisms or antihomomorphisms on a semiprime ring.
Funder
The Department of Mathematics, Faculty of Science, Kasetsart University
Publisher
World Scientific Pub Co Pte Lt