On Radicals of Green’s Relations in Ordered Semigroups
Anjan Kumar Bhuniya, Kalyan Hansda · Canadian Mathematical Bulletin · 2016
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 t-simple ordered semigroups.