Clifford Semigroups And Seminear-rings Of Endomorphism
Mathematics Project Topics
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In this project we consider the structure of semi groups of self mapping of a semirngroup S under pointwise composition, generated by the endomorphisms of S. It isrnshown that,ifS is Clifford semi groups with underlying semilattice ∧, thernendomorphisms of S generate a Clifford semigroup E+ (S) whose underlyingrnsemilattice is the set of endomorphisms of ∧.These results contribute to the widerrntheory of seminear-rings of endomorphisms, Since E+ (S) has a natural structure asrndistributively generated seminear-ring.
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