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Journals / Eskişehir Teknik Üniversitesi Bilim ve Teknoloji Dergisi B - Teorik Bilimler / 2021 / Cilt: 9 - Sayı: 2

SA-EXTENDING MODULES

SA-EXTENDING MODÜLLER

Figen TAKIL MUTLU
Edanur TAŞTAN
Pages
54–59
Publication Date
2021-08-30
DOI
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AI Summary & Key Takeaways

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

It has been also shown that the concepts of UC, SA and SA-extending coincide when a module is distributive quasi continuous.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this note we investigate modules with the Ads and the SIP-extending properties.
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Key Findings & Data:Besides many results obtained, we show that the class of SA-extending modules is not closed under direct sums.
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Conclusion & Impact:It has been also shown that the concepts of UC, SA and SA-extending coincide when a module is distributive quasi continuous.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Ads Modül · SIP-Extending Modül · UC modül

Abstract

In this note we investigate modules with the Ads and the SIP-extending properties. Besides many results obtained, we show that the class of SA-extending modules is not closed under direct sums. Further we deal with direct summands of an SA-extending module. We give necessary and sufficient conditions for a module to be an SA-extending. It has been also shown that the concepts of UC, SA and SA-extending coincide when a module is distributive quasi continuous.

Özet

Bu makalede, Ads ve SIP-genişleyen özelliklerini sağlayan modüller araştırılmıştır. Elde edilen birçok sonucun yanı sıra, SA-genişleyen modüllerinin sınıfının direk toplamlar altında kapalı olmadığı gösterilmiştir. Ayrıca, SA-genişleyen modülünün direk toplananları ile ilgilenilmiştir. Bir modülün SA-genişleyen olması için gerekli ve yeterli koşullar verilmiştir. UC, SA ve SA-genişleyen kavramlarının, bir modülün dağılımlı yarı sürekli olması durumunda çakıştığı da gösterilmiştir.

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Cite This Article

MUTLU, F. T., TAŞTAN, E. (2021). SA-EXTENDING MODULES. Eskişehir Teknik Üniversitesi Bilim ve Teknoloji Dergisi B - Teorik Bilimler, Cilt: 9 - Sayı: 2, 54–59. https://ajindex.com/articles/393514

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