A New Type Fuzzy Module over Fuzzy Rings

A new kind of fuzzy module over a fuzzy ring is introduced by generalizing Yuan and Lee's definition of the fuzzy group and Aktaş and Çağman's definition of fuzzy ring. The concepts of fuzzy submodule, and fuzzy module homomorphism are studied and some of their basic properties are present...

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Detalles Bibliográficos
Autores principales: Yetkin, Ece, Olgun, Necati
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/PMC3967706/
https://www.ncbi.nlm.nih.gov/pubmed/24737989
http://dx.doi.org/10.1155/2014/730932
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author Yetkin, Ece
Olgun, Necati
author_facet Yetkin, Ece
Olgun, Necati
author_sort Yetkin, Ece
collection PubMed
description A new kind of fuzzy module over a fuzzy ring is introduced by generalizing Yuan and Lee's definition of the fuzzy group and Aktaş and Çağman's definition of fuzzy ring. The concepts of fuzzy submodule, and fuzzy module homomorphism are studied and some of their basic properties are presented analogous of ordinary module theory.
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spelling pubmed-39677062014-04-15 A New Type Fuzzy Module over Fuzzy Rings Yetkin, Ece Olgun, Necati ScientificWorldJournal Research Article A new kind of fuzzy module over a fuzzy ring is introduced by generalizing Yuan and Lee's definition of the fuzzy group and Aktaş and Çağman's definition of fuzzy ring. The concepts of fuzzy submodule, and fuzzy module homomorphism are studied and some of their basic properties are presented analogous of ordinary module theory. Hindawi Publishing Corporation 2014-03-05 /pmc/articles/PMC3967706/ /pubmed/24737989 http://dx.doi.org/10.1155/2014/730932 Text en Copyright © 2014 E. Yetkin and N. Olgun. 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
Yetkin, Ece
Olgun, Necati
A New Type Fuzzy Module over Fuzzy Rings
title A New Type Fuzzy Module over Fuzzy Rings
title_full A New Type Fuzzy Module over Fuzzy Rings
title_fullStr A New Type Fuzzy Module over Fuzzy Rings
title_full_unstemmed A New Type Fuzzy Module over Fuzzy Rings
title_short A New Type Fuzzy Module over Fuzzy Rings
title_sort new type fuzzy module over fuzzy rings
topic Research Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3967706/
https://www.ncbi.nlm.nih.gov/pubmed/24737989
http://dx.doi.org/10.1155/2014/730932
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