“Clifford semigroups and seminear-rings of endomorphism”
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Date
2017-09
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Addis Ababa University
Abstract
In this project we consider the structure of semi groups of self mapping of a semi
group S under pointwise composition, generated by the endomorphisms of S. It is
shown that,ifS is Clifford semi groups with underlying semilattice ∧, the
endomorphisms of S generate a Clifford semigroup E+ (S) whose underlying
semilattice is the set of endomorphisms of ∧.These results contribute to the wider
theory of seminear-rings of endomorphisms, Since E+ (S) has a natural structure as
distributively generated seminear-ring.
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Keywords
“Clifford semigroups