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On Radicals of Green’s Relations in Ordered Semigroups

Published online by Cambridge University Press:  20 November 2018

Anjan Kumar Bhuniya
Affiliation:
Department of Mathematics, Visva-Bharati University, Santiniketan, Bolpur - 731235, West Bengal, India. anjankbhuniya@gmail.com, kalyanh4@gmail.com
Kalyan Hansda
Affiliation:
Department of Mathematics, Visva-Bharati University, Santiniketan, Bolpur - 731235, West Bengal, India. anjankbhuniya@gmail.com, kalyanh4@gmail.com
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Abstract

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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.

Type
Research Article
Copyright
Copyright © Canadian Mathematical Society 2017

References

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