Clifford Semigroups and Seminear-Rings of Endomorphisms

Dejene, Hunegnaw (2017) Clifford Semigroups and Seminear-Rings of Endomorphisms. Masters thesis, Addis Ababa University.

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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.

Item Type: Thesis (Masters)
Subjects: Q Science > Q Science (General)
Q Science > QA Mathematics
Divisions: Africana
Depositing User: Selom Ghislain
Date Deposited: 01 Oct 2018 11:57
Last Modified: 01 Oct 2018 11:57

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