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.
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 language | English |
|---|---|
| Pages (from-to) | 110-119 |
| Number of pages | 10 |
| Journal | International Electronic Journal of Algebra |
| Volume | 7 |
| Publication status | Published - 2010 |