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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  and
Kalyan Hansda
Anjan Kumar Bhuniya
Affiliation:
Department of Mathematics, Visva-Bharati University, Santiniketan, Bolpur - 731235, West Bengal, India. [email protected], [email protected]
Kalyan Hansda
Affiliation:
Department of Mathematics, Visva-Bharati University, Santiniketan, Bolpur - 731235, West Bengal, India. [email protected], [email protected]
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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.

Keywords

06F05radical of Green’s relationintra regular ordered semigroupleft regulart-simple ordered semigroup
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 60 , Issue 2 , 01 June 2017 , pp. 246 - 252
Copyright
Copyright © Canadian Mathematical Society 2017

References

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