QUOTIENT RINGS VIA FUZZY CONGRUENCE RELATIONS

Authors

  • Xiaowu Zhou Hubei Minzu University University - Department of Mathematics
  • Dajing Xiang Hubei Minzu University University - Department of Mathematics
  • Jianming Zhan Hubei Minzu University University - Department of Mathematics

Keywords:

ring, fuzzy congruence relation, fuzzy ideal, quotient ring

Abstract

This paper aims to introduce fuzzy congruence relations over rings and give constructions of quotient rings induced by fuzzy congruence relations.  The Fuzzy First, Second and Third Isomorphism Theorems of rings are established.  Finally, we investigate the relationships between fuzzy ideals and fuzzy congruence relations on rings.

Cover of n°33 Italian Journal of Pure and Applied Mathematics

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Published

2014-12-29

How to Cite

Zhou, X., Xiang, D., & Zhan, J. (2014). QUOTIENT RINGS VIA FUZZY CONGRUENCE RELATIONS. Italian Journal of Pure and Applied Mathematics, 33, 411–424. Retrieved from https://journals.uniurb.it/index.php/ijpam/article/view/6268

Issue

N°33 - December 2014

Section

Articoli - Forum Editrice

License

Copyright (c) 2014 Xiaowu Zhou, Dajing Xiang, Jianming Zhan

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

L'opera è pubblicata sotto  Licenza Creative Commons Attribuzione 4.0 Internazionale (CC-BY)

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