On certain infinite semigroups of order-increasing transformations II

Abdullahi Umar

On certain infinite semigroups of order-increasing transformations II

Abdullahi Umar^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

2 Citations (Scopus)

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
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
Externally published	Yes

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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.",

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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.

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On certain infinite semigroups of order-increasing transformations II

Abstract

ASJC Scopus subject areas

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