### 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 |
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Pages (from-to) | 110-119 |

Number of pages | 10 |

Journal | International Electronic Journal of Algebra |

Volume | 7 |

Publication status | Published - 2010 |