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Dergiler / Hacettepe Journal of Mathematics and Statistics / 2019 / Cilt: 48 - Sayı: 3

On graded 2-absorbing and graded weakly 2-absorbing ideals

Khaldoun AL-ZOUBİ
Rashid ABU-DAWWAS
Seçil ÇEKEN
Sayfa
724–731
Yayın Tarihi
2019-06-15
DOI
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We investigate graded (weakly) 2-absorbing ideals of $R_{1}\times R_{2}$ where $R_{1}$ and $R_{2}$ are two graded rings.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:In this paper, we introduce and study graded 2-absorbing and graded weakly 2-absorbing ideals of a graded ring which are different from 2-absorbing and weakly 2-absorbing ideals.
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Temel Bulgular & Veri:We give some properties and characterizations of these ideals and their homogeneous components.
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Sonuç & Katkı:We investigate graded (weakly) 2-absorbing ideals of $R_{1}\times R_{2}$ where $R_{1}$ and $R_{2}$ are two graded rings.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:graded 2-absorbing ideal · graded weakly 2-absorbing ideal · graded weakly prime ideal

Abstract

In this paper, we introduce and study graded 2-absorbing and graded weakly 2-absorbing ideals of a graded ring which are different from 2-absorbing and weakly 2-absorbing ideals. We give some properties and characterizations of these ideals and their homogeneous components. We investigate graded (weakly) 2-absorbing ideals of $R_{1}\times R_{2}$ where $R_{1}$ and $R_{2}$ are two graded rings.

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Bu Makaleye Atıf Yap

AL-ZOUBİ, K., ABU-DAWWAS, R., ÇEKEN, S. (2019). On graded 2-absorbing and graded weakly 2-absorbing ideals. Hacettepe Journal of Mathematics and Statistics, Cilt: 48 - Sayı: 3, 724–731. https://ajindex.com/articles/669362

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Kaynakça (12)

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