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AI Summary & Key Takeaways
AI Insight⚡ TL;DR(Too Long; Didn't Read)
Morever, it is established relations between weakly prime ideals and weakly prime fuzzy ideals of commutative rings.
📌 3 Key Takeaways
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Objective & Hypothesis:In this paper, we present a new notion of fuzzy ideals : called weakly prime fuzzy ideal.
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Key Findings & Data:A nonconstant fuzzy ideal µ of R is called weakly prime fuzzy ideal if 0_t != x_r y_s ∈ µ implies x_r ∈ µ or y_s ∈ µ for all t ∈ (0, µ(0)].
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Conclusion & Impact:Morever, it is established relations between weakly prime ideals and weakly prime fuzzy ideals of commutative rings.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:weakly prime fuzzy ideals · prime fuzzy ideals
Abstract
In this paper, we present a new notion of fuzzy ideals : called weakly prime fuzzy ideal. Let R be a commutative ring with non-zero identity. A nonconstant fuzzy ideal µ of R is called weakly prime fuzzy ideal if 0_t != x_r y_s ∈ µ implies x_r ∈ µ or y_s ∈ µ for all t ∈ (0, µ(0)]. We investigate some properties of this notion. Morever, it is established relations between weakly prime ideals and weakly prime fuzzy ideals of commutative rings.
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Cite This Article
Sönmez, D., Yeşilot, G. (2019). On Weakly Prime Fuzzy Ideals of Commutative Rings. Journal of Engineering Technology and Applied Sciences, Cilt: 4 - Sayı: 1, 19–25. https://ajindex.com/articles/677488