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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
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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. (2022). Amalgamated rings with clean-type properties. Hacettepe Journal of Mathematics and Statistics, Cilt: 50 - Sayı: 5, 1358–1370. https://ajindex.com/articles/529467