### Abstract

We introduce the notion of a factorisable and an almost factorisable straight locally inverse semigroup, and prove that every straight locally inverse semigroup can be obtained as a subsemigroup of an idempotent separating homomorphic image of a Pastijn product of a semilattice by a completely simple semigroup. Moreover, we give an alternative proof of the fact that each straight locally inverse semigroup has a weakly E-unitary cover, implicitely due to Pastijn.

Original language | English |
---|---|

Pages (from-to) | 569-589 |

Number of pages | 21 |

Journal | Acta Scientiarum Mathematicarum |

Volume | 69 |

Issue number | 3 |

Publication status | Published - 2003 |

### Keywords

- factorisable
- locally inverse semigroups

## Cite this

Dombi, E. (2003). Almost factorisable straight locally inverse semigroups.

*Acta Scientiarum Mathematicarum*,*69*(3), 569-589.