### Abstract

Let X be an arbitrary poset. The semigroup I^{+}(X) of all order-increasing partial one-one mappings of Xis shown to be an ample semigroup with some interesting properties. Moreover, a necessary and sufficient condition (on the totally ordered sets X and Y) for I^{+}X) and I^{+}(Y) to be isomorphic has been established.

Original language | English |
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Pages (from-to) | 203-210 |

Number of pages | 8 |

Journal | Arabian Journal for Science and Engineering |

Volume | 28 |

Issue number | 2 A |

Publication status | Published - Jul 2003 |

### ASJC Scopus subject areas

- General

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## Cite this

Umar, A. (2003). On certain infinite semigroups of order-increasing transformations II.

*Arabian Journal for Science and Engineering*,*28*(2 A), 203-210.