### 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 |

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### ASJC Scopus subject areas

- General

### Cite this

*Arabian Journal for Science and Engineering*,

*28*(2 A), 203-210.

**On certain infinite semigroups of order-increasing transformations II.** / Umar, Abdullahi.

Research output: Contribution to journal › Article

*Arabian Journal for Science and Engineering*, vol. 28, no. 2 A, pp. 203-210.

}

TY - JOUR

T1 - On certain infinite semigroups of order-increasing transformations II

AU - Umar, Abdullahi

PY - 2003/7

Y1 - 2003/7

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=1642377374&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=1642377374&partnerID=8YFLogxK

M3 - Article

VL - 28

SP - 203

EP - 210

JO - Arabian Journal for Science and Engineering

JF - Arabian Journal for Science and Engineering

SN - 1319-8025

IS - 2 A

ER -