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Dergiler / Hacettepe Journal of Mathematics and Statistics / 2026 / Volume: 52 Issue: 3

When every ideal is $\phi$-P-flat

Hwankoo Kım(Hoseo University)0000-0002-3563-077X
Najib Mahdou(Sidi Mohamed Ben Abdellah University Fez)0000-0001-6353-1114
El Houssaine Oubouhou(Sidi Mohamed Ben Abdellah University Fez)0000-0002-5344-4153
Sayfa
—
Yayın Tarihi
2023-05-30
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Yapay Zeka Hızlı Bakış & Çıkarımlar

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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

Several examples which delineate the concepts and results are provided.

📌 3 Maddede Bu Makale

🎯
Amaç & Hipotez:Let $R$ be a commutative ring with nonzero identity.
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Temel Bulgular & Veri:An $R$-module $M$ is called $\phi$-P-flat if $x \in \Ann(s)M$ for every non-nilpotent element $s \in R$ and $x\in M$ such that $sx=0$.
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Sonuç & Katkı:Several examples which delineate the concepts and results are provided.
🔬Tür:Research Article
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:$\phi$-flat · $\phi$-P-flat · $\phi$-PF-ring

Abstract

Let $R$ be a commutative ring with nonzero identity. An $R$-module $M$ is called $\phi$-P-flat if $x \in \Ann(s)M$ for every non-nilpotent element $s \in R$ and $x\in M$ such that $sx=0$. In this paper, we introduce and study the class of $\phi$-PF-rings, i.e., rings in which all ideals are $\phi$-P-flat. Among other results, the transfer of the $\phi$-PF-ring to the amalgamation is investigated. Several examples which delineate the concepts and results are provided.

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Bu Makaleye Atıf Yap

Kım, H., Mahdou, N., Oubouhou, E. H. (2023). When every ideal is $\phi$-P-flat. Hacettepe Journal of Mathematics and Statistics, Volume: 52 Issue: 3. https://doi.org/10.15672/hujms.1148258

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