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Journals / Hacettepe Journal of Mathematics and Statistics / 2026 / Volume: 50 Issue: 5

Amalgamated rings with clean-type properties

Negin Farshad(Islamic Azad University, Central Tehran Branch)0000-0001-7906-1866
Shaaban Ali Safarisabet(Islamic Azad University, Central Tehran Branch)0000-0002-8568-5429
Ahmad Moussavi(Tarbiat Modares University)0000-0002-7775-9782
Pages
—
Publication Date
2021-10-15
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

We investigate strongly $\pi$-regular and clean-like properties of the amalgamation ring $A\bowtie^{f}K$ of $A$ with $B$ along $K$ with respect to $f$.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:Let $f:A\rightarrow B$ be a ring homomorphism and $K$ be an ideal of $B$.
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Key Findings & Data:Many variations of the notions of clean and nil-clean rings have been studied by a variety of authors.
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Conclusion & Impact:We investigate strongly $\pi$-regular and clean-like properties of the amalgamation ring $A\bowtie^{f}K$ of $A$ with $B$ along $K$ with respect to $f$.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:amalgamation ring · nil-clean ring · J-clean ring

Abstract

Let $f:A\rightarrow B$ be a ring homomorphism and $K$ be an ideal of $B$. Many variations of the notions of clean and nil-clean rings have been studied by a variety of authors. We investigate strongly $\pi$-regular and clean-like properties of the amalgamation ring $A\bowtie^{f}K$ of $A$ with $B$ along $K$ with respect to $f$.

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Cite This Article

Farshad, N., Safarisabet, S. A., Moussavi, A. (2021). Amalgamated rings with clean-type properties. Hacettepe Journal of Mathematics and Statistics, Volume: 50 Issue: 5. https://doi.org/10.15672/hujms.676342

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