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Dergiler / Journal of Engineering Technology and Applied Sciences / 2019 / Cilt: 4 - Sayı: 1

On Weakly Prime Fuzzy Ideals of Commutative Rings

Deniz Sönmez
Gürsel Yeşilot
Sayfa
19–25
Yayın Tarihi
2019-04-15
DOI
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

Morever, it is established relations between weakly prime ideals and weakly prime fuzzy ideals of commutative rings.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:In this paper, we present a new notion of fuzzy ideals : called weakly prime fuzzy ideal.
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Temel Bulgular & Veri: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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Sonuç & Katkı:Morever, it is established relations between weakly prime ideals and weakly prime fuzzy ideals of commutative rings.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler: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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Bu Makaleye Atıf Yap

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

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Kaynakça (8)

  1. Anderson D. D. and Smith E., “Weakly prime ideals”, Houston J. Math. 29(4) (2003): 831-840
  2. Atani S. E. and Farzalipour F., “On weakly primary ideals”, Georgian Math. J. 12(3) (2005): 423-429
  3. Dixit V.N., Kumar R. and Ajmal N., “Fuzzy ideals and fuzzy prime ideals of a ring”, Fuzzy Sets and Systems 44 (1991): 127-138
  4. Ersoy B.A., “A Generalization of Cartesian Product of Fuzzy Subgroups and Ideals”, Journal of Applied Sciences 3 (2003): 100-102
  5. Liu W.J., “Fuzzy invariant subgroups and fuzzy ideals”, Fuzzy Sets and Systems 8 (1982): 133-139
  6. Martinez L., “Fuzzy subgroups of fuzzy groups and fuzzy ideals of fuzzy rings”, J. Fuzzy Math. 3 (1995): 833-849
  7. Mukherjee T.K. and Sen M.K., “Prime fuzzy ideals in rings”, Fuzzy Sets and Systems 32 (1989): 337-341
  8. Zadeh L.A., “Fuzzy sets”, Inform and Control 8 (1965): 338-353.