On certain infinite semigroups of order-increasing transformations II

Abdullahi Umar

Research output: Contribution to journalArticle

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 languageEnglish
Pages (from-to)203-210
Number of pages8
JournalArabian Journal for Science and Engineering
Volume28
Issue number2 A
Publication statusPublished - Jul 2003

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Semigroup
Ordered Set
Poset
Isomorphic
Partial
Necessary Conditions
Sufficient Conditions
Arbitrary

ASJC Scopus subject areas

  • General

Cite this

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

In: Arabian Journal for Science and Engineering, Vol. 28, No. 2 A, 07.2003, p. 203-210.

Research output: Contribution to journalArticle

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