Title of article :
On Ordered Regular Semigroups with a Zero Element
Author/Authors :
da Camara e Almeida Pinto, Goncalo Department of Mathematics - College of Science - Sultan Qaboos University - Muscat, Oman
Abstract :
In this paper, we study several conditions on ordered regular semigroups containing a zero element. In particular, we consider the natural and semigroup order and their connections to the properties of being principally ordered, Dubreil-Jacotin and BZS. We study also the set of biggest inverses in such a semigroup and we characterize subalgebras generated by two comparable idempotents.
Keywords :
ordered semigroups , regular , naturally ordered , principally or- dered , strong Dubreil-Jacotin , semilattice
Journal title :
Mathematics Interdisciplinary Research
