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Dergiler / Turkish Journal of Mathematics / 2018 / Cilt: 42 - Sayı: 4

On n-absorbing δ -primary ideals

Ünsal TEKİR
Suat KOÇ
Gülşen ULUCAK
Sayfa
1833–1844
Yayın Tarihi
2022-11-04
DOI
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

Moreover, we give many properties of these new types of ideals andinvestigate the relations between these structures.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:Let R be a commutative ring with nonzero identity and n be a positive integer.
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Temel Bulgular & Veri:In this paper, we studythe concepts of n-absorbing δ -primary ideals and weakly n-absorbing δ -primary ideals, which are the generalizationsof δ -primary ideals and weakly δ -primary ideals, respectively.
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Sonuç & Katkı:Moreover, we give many properties of these new types of ideals andinvestigate the relations between these structures.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Alan Parametreleri

Abstract

Let R be a commutative ring with nonzero identity and n be a positive integer. In this paper, we studythe concepts of n-absorbing δ -primary ideals and weakly n-absorbing δ -primary ideals, which are the generalizationsof δ -primary ideals and weakly δ -primary ideals, respectively. We introduce the concepts of n-absorbing δ -primaryideals and weakly n-absorbing δ -primary ideals. Moreover, we give many properties of these new types of ideals andinvestigate the relations between these structures.

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Bu Makaleye Atıf Yap

TEKİR, Ü., KOÇ, S., ULUCAK, G. (2022). On n-absorbing δ -primary ideals. Turkish Journal of Mathematics, Cilt: 42 - Sayı: 4, 1833–1844. https://ajindex.com/articles/607790

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Kaynakça (7)

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  3. Badawi A, Darani AY. On weakly 2-absorbing ideals of commutative rings. Houston J Math 2013; 39: 441-452.
  4. Badawi A, Fahid B. On weakly 2-absorbing δ -primary ideals of commutative rings. Georgian Math J 2017 (in press). Badawi A, Tekir U, Yetkin E. On 2-absorbing primary ideals in commutative rings. Bull Korean Math Soc 2014; 1: 1163-1173.
  5. Badawi A, Tekir U, Yetkin E. On weakly 2-absorbing primary ideals of commutative rings. J Korean Math Soc 2015; 52: 97-111. Dongsheng Z. δ -primary ideals of commutative rings. Kyungpook Mathematical Journal 2001; 41: 17-22.
  6. Fahid B, Dongsheng Z. 2-Absorbing δ -primary ideals in commutative rings. Kyungpook Mathematical Journal 2017; 57: 193-198.
  7. Mostafanasab H, Sohelnia F. Darani AY. On weakly n-absorbing ideals of commutative rings, arxiv. Payrovi S, Babaei S. On 2-absorbing submodules. In Algebra Colloquium 2012; 19: 913-920.