Eventually Pointed Principally Ordered Regular Semigroups

G.A. Pinto
2020 Sultan Qaboos University Journal for Science  
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
more » ... btained. We describe the subalgebra of generated by a pair of comparable idempotents and such that .
doi:10.24200/squjs.vol24iss2pp139-146 fatcat:rwxirnyu3nbjvppecdqk6lbjb4