P-F Fuzzy Rings and Normal Fuzzy Ring-Reference-Cited by-同舟云学术

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P-F Fuzzy Rings and Normal Fuzzy Ring

Published:2017 Issue: Volume: Page:82-111
ISSN:2327-0411
Container-title:Emerging Research on Applied Fuzzy Sets and Intuitionistic Fuzzy Matrices
language:
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Author:

Kumar Manoj¹

Affiliation:

1. International Engineering Services, India

Abstract

In 1965, Zadeh introduced the concept of fuzzy subset. Since that time many papers were introduced in different mathematical scopes of theoretical and practical applications. In 1982, Liuformulated the term of fuzzy ring and fuzzy ideal of a ring R. In 2004, Hadi and Abou-Draeb, introduced and studied P-F fuzzy rings and normal fuzzy rings and now we are complete it. In this chapter, the concepts P-F fuzzy rings and normal fuzzy rings have been investigated. Several basic results related to these concepts have given and studied. The relationship between them has also been given. Moreover, some properties of t-pure fuzzy ideal of a fuzzy ring have been given which need it later.

Publisher

IGI Global

Reference12 articles.

1. Abou-Draeb, A. T. (2000). On Almost Quasi–Frobenius Fuzzy Rings (M.Sc. Thesis). University of Baghdad, College of Education Ibn-AL-Haitham.

2. Abou-Draeb, A.T. (2010). Fuzzy Quotient Rings and Fuzzy Isomorphism Theorem. Academic Press.

3. Fuzzy Principal Ideals and Simple Field Extensions.;Y.Al-Khamees;Fuzzy Sets and Systems,1998

4. Fuzzy ideals and fuzzy prime ideals of a ring

5. Hadi, I.M.A., & Abou-Draeb, A.T. (2004). P-F Fuzzy Rings and Normal Fuzzy Rings. Ibn-Al-Haitham J. for Pure & Appl. Sci., (17), 111 – 120.

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