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Fuzzy quotient rings and fuzzy isomorphism theorem
Other Title(s)
حلقات القسمة الضبابية و نظرية التماثل الضبابية
Author
Source
Issue
Vol. 5, Issue 4 (31 Mar. 2010), pp.21-29, 9 p.
Publisher
University of Thi-Qar Research and Development Department
Publication Date
2010-03-31
Country of Publication
Iraq
No. of Pages
9
Main Subjects
Topics
Abstract AR
عام و 1982 قدم ليو مفهوم الحلقات الضبابية عتم 1965 (fuzzy sets) مفهوم المجموعات الضبابية بعد أن قدم زاده (fuzzy ring) و المثالي الضبابي (fuzzy ideal) و منذ ذلك الحين أجريت العديد من البحوث في مختلف المجالات الرياضية النظرية و التطبيقية حول هذا الموضوع.
لقد هدف البحث إلى دراسة الحلقة homomorphism isomorphism, و كيفية الحصول عليهاباستخدام الحلقة الضبابية و المثالي الضبابي.
أما النواة الضبابية (Kernel fuzzy ring) و التي عرفت و ذكرت شروطها التي يمكن استخدامها للحصول على ما تريد من homomorphism.
Abstract EN
The concept of fuzzy sets was introduced by (Zadeh L.A.) in 1965 and in 1982 /Liu W.J.) Introduced the concept of fuzzy rings, fuzzy ideals and since that time "many papers were introduced in different mathematical scopes of theoretical and practical applications.
A characterization of rings which are both homomorphism and isomorphism is obtained.
We are proving to the fuzzy rings whose fuzzy ideals assume to obtain it.
Kernal fuzzy ring have been defined and conditions have been obtained under which we need.
American Psychological Association (APA)
Hamid, Arij Tawfiq. 2010. Fuzzy quotient rings and fuzzy isomorphism theorem. University of Thi-Qar Journal،Vol. 5, no. 4, pp.21-29.
https://search.emarefa.net/detail/BIM-254515
Modern Language Association (MLA)
Hamid, Arij Tawfiq. Fuzzy quotient rings and fuzzy isomorphism theorem. University of Thi-Qar Journal Vol. 5, no. 4 (Mar. 2010), pp.21-29.
https://search.emarefa.net/detail/BIM-254515
American Medical Association (AMA)
Hamid, Arij Tawfiq. Fuzzy quotient rings and fuzzy isomorphism theorem. University of Thi-Qar Journal. 2010. Vol. 5, no. 4, pp.21-29.
https://search.emarefa.net/detail/BIM-254515
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references : p. 28
Record ID
BIM-254515