Clifford semigroups and seminear-rings of endomorphisms

Nicholas David Gilbert, Mohammad Samman

Research output: Contribution to journalArticle

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
L, then the endomorphisms of S generate a Clifford semigroup E+(S) whose
underlying semilattice is the set of endomorphisms of L These results con-
tribute to the wider theory of seminear-rings of endomorphisms, since E+(S)
has a natural structure as a distributively generated seminear-ring.
Original languageEnglish
Pages (from-to)110-119
Number of pages10
JournalInternational Electronic Journal of Algebra
Volume7
Publication statusPublished - 2010

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