The Lattices of Group Fuzzy Congruences and Normal Fuzzy Subsemigroups on E-Inversive Semigroups

The aim of this paper is to investigate the lattices of group fuzzy congruences and normal fuzzy subsemigroups on E-inversive semigroups. We prove that group fuzzy congruences and normal fuzzy subsemigroups determined each other in E-inversive semigroups. Moreover, we show that the set of group t-fu...

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Autor principal: Wang, Shoufeng
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Hindawi Publishing Corporation 2014
Materias:
Research Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4032726/
https://www.ncbi.nlm.nih.gov/pubmed/24892045
http://dx.doi.org/10.1155/2014/413564
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author Wang, Shoufeng
author_facet Wang, Shoufeng
author_sort Wang, Shoufeng
collection PubMed
description The aim of this paper is to investigate the lattices of group fuzzy congruences and normal fuzzy subsemigroups on E-inversive semigroups. We prove that group fuzzy congruences and normal fuzzy subsemigroups determined each other in E-inversive semigroups. Moreover, we show that the set of group t-fuzzy congruences and the set of normal subsemigroups with tip t in a given E-inversive semigroup form two mutually isomorphic modular lattices for every t∈ [0,1].
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spelling pubmed-40327262014-06-02 The Lattices of Group Fuzzy Congruences and Normal Fuzzy Subsemigroups on E-Inversive Semigroups Wang, Shoufeng ScientificWorldJournal Research Article The aim of this paper is to investigate the lattices of group fuzzy congruences and normal fuzzy subsemigroups on E-inversive semigroups. We prove that group fuzzy congruences and normal fuzzy subsemigroups determined each other in E-inversive semigroups. Moreover, we show that the set of group t-fuzzy congruences and the set of normal subsemigroups with tip t in a given E-inversive semigroup form two mutually isomorphic modular lattices for every t∈ [0,1]. Hindawi Publishing Corporation 2014 2014-05-05 /pmc/articles/PMC4032726/ /pubmed/24892045 http://dx.doi.org/10.1155/2014/413564 Text en Copyright © 2014 Shoufeng Wang. https://creativecommons.org/licenses/by/3.0/ This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
spellingShingle Research Article
Wang, Shoufeng
The Lattices of Group Fuzzy Congruences and Normal Fuzzy Subsemigroups on E-Inversive Semigroups
title The Lattices of Group Fuzzy Congruences and Normal Fuzzy Subsemigroups on E-Inversive Semigroups
title_full The Lattices of Group Fuzzy Congruences and Normal Fuzzy Subsemigroups on E-Inversive Semigroups
title_fullStr The Lattices of Group Fuzzy Congruences and Normal Fuzzy Subsemigroups on E-Inversive Semigroups
title_full_unstemmed The Lattices of Group Fuzzy Congruences and Normal Fuzzy Subsemigroups on E-Inversive Semigroups
title_short The Lattices of Group Fuzzy Congruences and Normal Fuzzy Subsemigroups on E-Inversive Semigroups
title_sort lattices of group fuzzy congruences and normal fuzzy subsemigroups on e-inversive semigroups
topic Research Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4032726/
https://www.ncbi.nlm.nih.gov/pubmed/24892045
http://dx.doi.org/10.1155/2014/413564
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