Abstract
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 .
Recommended Citation
Pinto, G.A.
(2019)
Eventually Pointed Principally Ordered Regular Semigroups,
Sultan Qaboos University Journal For Science: Vol. 24:
Iss.
2, 139-146.
DOI: https://doi.org/10.24200/squjs.vol24iss2pp139-146
Available at:
https://squjs.squ.edu.om/squjs/vol24/iss2/2