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On Radicals of Green’s Relations in Ordered Semigroups
Published online by Cambridge University Press: 20 November 2018
Abstract
In this paper, we give a new definition of radicals of Green’s relations in an ordered semigroup and characterize left regular (right regular), intra regular ordered semigroups by radicals of Green’s relations. We also characterize the ordered semigroups that are unions and complete semilattices of $\text{t}$-simple ordered semigroups.
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- Copyright © Canadian Mathematical Society 2017