CLIFFORD SEMIGROUPS AND SEMINEAR-RINGS OF ENDOMORPHISMS

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International Electronic Journal of Algebra
Volume:7 Issue:7
CLIFFORD SEMIGROUPS AND SEMINEAR-RINGS OF ENDOMORPHISMS

CLIFFORD SEMIGROUPS AND SEMINEAR-RINGS OF ENDOMORPHISMS

Authors : Nick D GİLBERT, Mohammad SAMMAN

Pages : 110-119

View : 17 | Download : 15

Publication Date : 2010-06-01

Article Type : Research Paper

Abstract :We consider the structure of the semigroup of self-mappings of a semigroup S under pointwise composition, generated by the endomorphisms of S. We show that if S is a Clifford semigroup, with underlying semilattice Λ, then the endomorphisms of S generate a Clifford semigroup E+insert ignore into journalissuearticles values(S); whose underlying semilattice is the set of endomorphisms of Λ. These results contribute to the wider theory of seminear-rings of endomorphisms, since E+insert ignore into journalissuearticles values(S); has a natural structure as a distributively generated seminear-ring.
Keywords : endomorphism, Clifford semigroup, seminear ring

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