### Abstract

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 |

### Fingerprint

### Cite this

*International Electronic Journal of Algebra*,

*7*, 110-119.

}

*International Electronic Journal of Algebra*, vol. 7, pp. 110-119.

**Clifford semigroups and seminear-rings of endomorphisms.** / Gilbert, Nicholas David; Samman, Mohammad.

Research output: Contribution to journal › Article

TY - JOUR

T1 - Clifford semigroups and seminear-rings of endomorphisms

AU - Gilbert, Nicholas David

AU - Samman, Mohammad

PY - 2010

Y1 - 2010

N2 - We consider the structure of the semigroup of self-mappings of asemigroup S under pointwise composition, generated by the endomorphismsof S. We show that if S is a Clifford semigroup, with underlying semilatticeL, then the endomorphisms of S generate a Clifford semigroup E+(S) whoseunderlying 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.

AB - We consider the structure of the semigroup of self-mappings of asemigroup S under pointwise composition, generated by the endomorphismsof S. We show that if S is a Clifford semigroup, with underlying semilatticeL, then the endomorphisms of S generate a Clifford semigroup E+(S) whoseunderlying 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.

M3 - Article

VL - 7

SP - 110

EP - 119

JO - International Electronic Journal of Algebra

JF - International Electronic Journal of Algebra

SN - 1306-6048

ER -