Abstract
A generalization is given of the relations and equivalences on a semigroup S associated with J. A. Green by introducing the concepts of Green's pairs and generalized Green's theories first on an arbitrary set X and finally on a semigroup S. Most of the results about the usual Green's relations and equivalences are proved, and it is shown that previous generalizations obtained by Wallace, Anscombre, Marki and Steinfeld, and Pastijn may be obtained as special cases of the theory developed.
Full Text 
Sign-in/Register to access full text options
Sign-in/Register to access full text options 
Published version (
Free)
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
