Green's relations in semigroups of functions
Frank A. Cezus · Bulletin of the Australian Mathematical Society · 1973
In the first two chapters of this paper we characterize Green's relations in various semigroups of continuous functions . In the third chapter we use the above characterizations in an investigation of the functions contained in H- classes of idempotents . In the fourth chapter we look at semi group homomorphisms ψ for which the functions f and ψ(f) are always in the same Green's class. In the fifth chapter we extend the preceding results to a few semigroups of binary relations .