Home 9 Volume 9 Generalized fuzzy Gamma-ideals of ordered Gamma-semigroups
Open AccessArticle
Generalized fuzzy Gamma-ideals of ordered Gamma-semigroups

Department of Mathematics, Aligarh Muslim University, Aligarh-202002, India

* Corresponding Author
Annals of Communications in Mathematics 2019
, 2 (2),
91-100.
https://doi.org/10.62072/acm.2019.020204
Received: |
Accepted: |
Published:

Abstract

In this paper, the notions of (∈, ∈ ∨(k ∗, qk))-fuzzy left Γ-ideals, (∈, ∈ ∨(k ∗, qk))-fuzzy right Γ-ideals and (∈, ∈ ∨(k ∗, qk))-fuzzy Γ-ideals in ordered Γ-semigroups are introduced and their related properties are investigated. Furthermore, (k ∗, k)-lower parts of (∈, ∈ ∨(k ∗, qk))-fuzzy left Γ-ideals, (∈, ∈ ∨(k ∗, qk))-fuzzy right Γ-ideals and (∈, ∈ ∨(k ∗, qk))-fuzzy Γ-ideals are also defined. Finally, left regular, right regular and regular ordered Γ-semigroups in terms of (∈, ∈ ∨(k ∗, qk))-fuzzy left Γ-ideals and (∈, ∈ ∨(k ∗, qk))-fuzzy right Γ-ideals are characterized.

Keywords

Cite This Article

Generalized fuzzy Gamma-ideals of ordered Gamma-semigroups.

Annals of Communications in Mathematics,

,
2 (2):
91-100.
https://doi.org/10.62072/acm.2019.020204
  • Creative Commons License
  • Copyright (c) 2023 by the Author(s). Licensee Techno Sky Publications. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (https://creativecommons.org/licenses/by/4.0/).

    0 Comments

    Submit a Comment

    Your email address will not be published. Required fields are marked *

    Preview PDF

    XML File

    Loading

    Share