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Journals / Hacettepe Journal of Mathematics and Statistics / 2026 / Volume: 42 Issue: 5

STRONGLY EXTENDING MODULES

Burcu Ungor
Sait Halicioglu
Pages
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Publication Date
2013-05-01
DOI
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AI Summary & Key Takeaways

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

Under some conditions we prove that extending modules are strongly extending.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this paper, we recall the concept of strong largeness to define strongly extending modules which are particular extending modules, and investigate some properties of strongly extending modules.
📊
Key Findings & Data:We supply some examples showing that extending modules need not be strongly extending.
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Conclusion & Impact:Under some conditions we prove that extending modules are strongly extending.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Large submodules · extending modules · strongly large submodules

Abstract

In this paper, we recall the concept of strong largeness to define strongly extending modules which are particular extending modules, and investigate some properties of strongly extending modules. We supply some examples showing that extending modules need not be strongly extending. Under some conditions we prove that extending modules are strongly extending.

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Cite This Article

Ungor, B., Halicioglu, S. (2013). STRONGLY EXTENDING MODULES. Hacettepe Journal of Mathematics and Statistics, Volume: 42 Issue: 5. https://ajindex.com/articles/1403444

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References (8)

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