Original Article
Kyungpook Mathematical Journal 2014; 54(1): 123-129
Published online March 23, 2014
Copyright © Kyungpook Mathematical Journal.
Pure Ideals in Ordered Semigroups
Thawhat Changphas and Jatuporn Sanborisoot
Department of Mathematics, Faculty of Science, Khon Kaen University, Khon Kaen 40002, Thailand
In this paper the concepts of pure ideals, weakly pure ideals and purely prime ideals in ordered semigroups are introduced. We obtain some characterizations of pure ideals and prove that the set of all pure prime ideals is topologized.
Keywords: ordered semigroup, weakly regular ordered semigroup, pure ideal, weakly pure ideal, purely prime ideal, topology