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On Radicals of Green's Relations in Ordered Semigroups

  Published:2017-02-21
 Printed: Jun 2017
  • Anjan Kumar Bhuniya,
    Department of Mathematics, Visva-Bharati University, Santiniketan, Bolpur - 731235, West Bengal, India
  • Kalyan Hansda,
    Department of Mathematics, Visva-Bharati University, Santiniketan, Bolpur - 731235, West Bengal, India
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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. Also we characterize the ordered semigroups which are unions and complete semilattices of t-simple ordered semigroups.
Keywords: radical of Green's relation, intra regular ordered semigroup, left regular, t-simple ordered semigroup radical of Green's relation, intra regular ordered semigroup, left regular, t-simple ordered semigroup
MSC Classifications: 06F05 show english descriptions Ordered semigroups and monoids [See also 20Mxx] 06F05 - Ordered semigroups and monoids [See also 20Mxx]
 

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