Eventually pointed principally ordered regular semigroups

Other Title(s)

التوجه النهائي للترتيب الأساسي لشبه الزمر العادية

Author

Pinto, G. A. S.

Source

Sultan Qaboos University Journal for Science

Issue

Vol. 24, Issue 2 (31 Dec. 2019), pp.139-146, 8 p.

Publisher

Sultan Qaboos University College of Science

Publication Date

2019-12-31

Country of Publication

Oman

No. of Pages

8

Main Subjects

Mathematics

Abstract EN

An ordered regular semigroup, , is said to be principally ordered if for every there exists .

A principally ordered regular semigroup is pointed if for every element, we have .

Here we investigate those principally ordered regular semigroups that are eventually pointed in the sense that for all there exists a positive integer, , such that .

Necessary and sufficient conditions for an eventually pointed principally ordered regular semigroup to be naturally ordered and to be completely simple are obtained.

We describe the subalgebra of generated by a pair of comparable idempotents and such that .

American Psychological Association (APA)

Pinto, G. A. S.. 2019. Eventually pointed principally ordered regular semigroups. Sultan Qaboos University Journal for Science،Vol. 24, no. 2, pp.139-146.
https://search.emarefa.net/detail/BIM-956484

Modern Language Association (MLA)

Pinto, G. A. S.. Eventually pointed principally ordered regular semigroups. Sultan Qaboos University Journal for Science Vol. 24, no. 2 (2019), pp.139-146.
https://search.emarefa.net/detail/BIM-956484

American Medical Association (AMA)

Pinto, G. A. S.. Eventually pointed principally ordered regular semigroups. Sultan Qaboos University Journal for Science. 2019. Vol. 24, no. 2, pp.139-146.
https://search.emarefa.net/detail/BIM-956484

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references : p. 146

Record ID

BIM-956484