Transformation semigroups associated to Γ-semigroups

Dariush Heidari; Marzieh Amooshahi

Discussiones Mathematicae - General Algebra and Applications (2013)

  • Volume: 33, Issue: 2, page 249-259
  • ISSN: 1509-9415

Abstract

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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.

How to cite

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Dariush Heidari, and Marzieh Amooshahi. "Transformation semigroups associated to Γ-semigroups." Discussiones Mathematicae - General Algebra and Applications 33.2 (2013): 249-259. <http://eudml.org/doc/270760>.

@article{DariushHeidari2013,
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.},
author = {Dariush Heidari, Marzieh Amooshahi},
journal = {Discussiones Mathematicae - General Algebra and Applications},
keywords = {transformation semigroup; Γ-semigroup; Green's relations; -semigroups; ideals of transformation semigroups; Green relations},
language = {eng},
number = {2},
pages = {249-259},
title = {Transformation semigroups associated to Γ-semigroups},
url = {http://eudml.org/doc/270760},
volume = {33},
year = {2013},
}

TY - JOUR
AU - Dariush Heidari
AU - Marzieh Amooshahi
TI - Transformation semigroups associated to Γ-semigroups
JO - Discussiones Mathematicae - General Algebra and Applications
PY - 2013
VL - 33
IS - 2
SP - 249
EP - 259
AB - 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.
LA - eng
KW - transformation semigroup; Γ-semigroup; Green's relations; -semigroups; ideals of transformation semigroups; Green relations
UR - http://eudml.org/doc/270760
ER -

References

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