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Green's relations in semigroups of functions

Cezus, Frank Anthony


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 .

CollectionsOpen Access Theses
Date published: 1972
Type: Thesis (PhD)
DOI: 10.25911/5d6f9df0bd083


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