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Cartesian Product on Fuzzy Prime Ideals

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Title: Cartesian Product on Fuzzy Prime Ideals

Authors: B.A. Ersoy, A. Tepecik, I. Demir

Journal: Journal of Applied Sciences

HEC Recognition History
No recognition records found.

Publisher: Asian Network for Scientific Information (ANSInet)

Country: Pakistan

Year: 2002

Volume: 2

Issue: 11

Language: English

DOI: 10.3923/jas.2002.1022.1024

Categories
Fuzzy Sets (27) Applied Mathematics (727) Abstract Algebra (137) Mathematics (5170) Theoretical Computer Science (62)

Abstract

In this paper we examine the cartesian product of some fuzzy
ideals. That is if and are fuzzy prime ideal, fuzzy semi
prime ideal, fuzzy primary ideal, fuzzy semi primary ideals of R,
then x is a fuzzy prime ideal, fuzzy semi prime ideal,
fuzzy primary ideal, fuzzy semi primary ideals of R x R. Moreover we
showed that the level ideals of above fuzzy ideal of R x R are prime,
semi prime, primary and semi primary ideals of R x R.

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