Article
Kyungpook Mathematical Journal 2020; 60(4): 839-851
Published online December 31, 2020
Copyright © Kyungpook Mathematical Journal.
Morphic Elements in Regular Near-rings
Alex Samuel Bamunoba, Philly Ivan Kimuli* and David Ssevviiri
Department of Mathematics, Makerere University, P. O. BOX 7062, Kampala Uganda
e-mail : bamunoba@cns.mak.ac.ug, kimuli@cns.mak.ac.ug and ssevviiri@cns.mak.ac.ug
Received: December 24, 2019; Revised: June 3, 2020; Accepted: June 29, 2020
We define morphic near-ring elements and study their behavior in regular near-rings. We show that the class of left morphic regular near-rings is properly contained between the classes of left strongly regular and unit-regular near-rings.
Keywords: morphic regular, strongly regular, unit-regular