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ArticleOriginal scientific text

Title

Transformation semigroups associated to Γ-semigroups

Authors 1, 2

Affiliations

  1. Department of Mathematics, Najafabad Branch, Islamic Azad University, Najafabad, Isfahan, Iran
  2. Department of Mathematics, Najafabad Branch, Islamic Azad University Najafabad, Isfahan, Iran

Abstract

The concept of Γ-semigroups is a generalization of semigroups. In this paper, we associate two transformation semigroups to a Γ-semigroup and we call them the left and right transformation semigroups. We prove some relationships between the ideals of a Γ-semigroup and the ideals of its left and right transformation semigroups. Finally, we study some relationships between Green's equivalence relations of a Γ-semigroup and its left (right) transformation semigroup.

Keywords

ENG
transformation semigroup, Γ-semigroup, Green's relations

Bibliography

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Discussiones Mathematicae - General Algebra and Applications
2013/33/2
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Pages:
249-259
Main language of publication
English
Received
2013-08-17
Accepted
2013-09-10
Published
2013

DOI: 10.7151/dmgaa.1204

Exact and natural sciences