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Dergiler / Gazi University Journal of Science Part A: Engineering and Innovation / 2021 / Volume: 8 Issue: 4

On Prime Ideals Related to an Ideal in a Commutative Ring

Ortaç Öneş(AKDENIZ UNIVERSITY)0000-0001-6777-9192
Sayfa
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Yayın Tarihi
2021-12-30
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

Moreover a direct connection between prime ideals related to an ideal and radical ideals is obtained.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:This article focuses on the notion of prime ideal related to an ideal of a commutative ring.
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Temel Bulgular & Veri:Some of its characteristics are studied and the relations between ideals and prime ideals related to these ideals in a commutative ring are examined.
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Sonuç & Katkı:Moreover a direct connection between prime ideals related to an ideal and radical ideals is obtained.
🔬Tür:Research Article
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Prime Ideal · Radical Ideal · Localization

Abstract

This article focuses on the notion of prime ideal related to an ideal of a commutative ring. Some of its characteristics are studied and the relations between ideals and prime ideals related to these ideals in a commutative ring are examined. Then some useful connections among them are obtained. Both similarities and differences between prime ideals related to an ideal and prime ideals are pointed out. Moreover a direct connection between prime ideals related to an ideal and radical ideals is obtained.

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Bu Makaleye Atıf Yap

Öneş, O. (2021). On Prime Ideals Related to an Ideal in a Commutative Ring. Gazi University Journal of Science Part A: Engineering and Innovation, Volume: 8 Issue: 4. https://doi.org/10.54287/gujsa.1013194

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Kaynakça (19)

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