“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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“Clifford semigroups

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