# 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

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topDariush 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 -

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