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Dergiler / Hacettepe Journal of Mathematics and Statistics / 2026 / Volume: 48 Issue: 3

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

Khaldoun Al-zoubi0000-0001-6082-4480
Rashid Abu-dawwas0000-0001-8998-7590
Seçil Çeken0000-0002-7578-9320
Sayfa
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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:Research Article
📍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-zoubi, K., Abu-dawwas, R., Çeken, S. (2019). On graded 2-absorbing and graded weakly 2-absorbing ideals. Hacettepe Journal of Mathematics and Statistics, Volume: 48 Issue: 3. https://ajindex.com/articles/1402787

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Kaynakça (14)

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