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Ordered semigroups whose elements are separated by prime ideals
Authors:Niovi Kehayopulu
Institution:1.Department of Mathematics,University of Athens,Panepistimiopolis Athens,Greece
Abstract:In this paper we add one more characterization of intra-regular ordered semigroups in the existing bibliography by proving that the ordered semigroups whose elements are separated by prime ideals are actually the intra-regular ordered semigroups, a result which generalizes the corresponding result of semigroups (without order).
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