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Lobachevskii Journal of Mathematics

, Volume 33, Issue 2, pp 158–164 | Cite as

The greatest subgroup of a semigroup in Γ-semigroups

  • M. Siripitukdet
  • P. Julatha
Article
  • 85 Downloads

Abstract

In this paper, we study properties of the greatest subgroup of a semigroup in a Γ-semigroup. We also introduce a relation G on a Γ-semigroup and show that the relation G and the Green’s relation H coincide in a special class of a Γ-semigroup.

Keywords and phrases

Greatest subgroup Γ-semigroup Green’s relation 

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Copyright information

© Pleiades Publishing, Ltd. 2012

Authors and Affiliations

  1. 1.Department of Mathematics, Faculty of ScienceNaresuan University PhitsanulokPhitsanulokThailand
  2. 2.Centre of Excellence in MathematicsCEMBangkokThailand

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