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Journals / Journal of New Theory / 2020 / Sayı: 32

On Proper Class Coprojectively Generated by Modules With Projective Socle

Ayşe ÇOBANKAYA
Pages
79–87
Publication Date
2020-09-30
DOI
—
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AI Summary & Key Takeaways

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

Additionally, we examine coprojective modules of this class. .

📌 3 Key Takeaways

🎯
Objective & Hypothesis:Let $\varepsilon$ : 0 --> A -->f B -->g C --> 0 be a short exact sequence of modules and module homomorphism. $\varepsilon$ is called gd-closed sequence if Imf is gd-closed in B.
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Key Findings & Data:In this paper, the proper class $GD$− Closed, which is coprojectively generated by modules with projective socle, be studied and also its relations among Neat, Closed, $D$−Closed, $S$−Closed be investigated.
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Conclusion & Impact:Additionally, we examine coprojective modules of this class. .
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Gd-closed · g-semartinian modules · G-Dickson torsion theory

Abstract

Let $\varepsilon$ : 0 --> A -->f B -->g C --> 0 be a short exact sequence of modules and module homomorphism. $\varepsilon$ is called gd-closed sequence if Imf is gd-closed in B. In this paper, the proper class $GD$− Closed, which is coprojectively generated by modules with projective socle, be studied and also its relations among Neat, Closed, $D$−Closed, $S$−Closed be investigated. Additionally, we examine coprojective modules of this class. .

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Cite This Article

ÇOBANKAYA, A. (2020). On Proper Class Coprojectively Generated by Modules With Projective Socle. Journal of New Theory, Sayı: 32, 79–87. https://ajindex.com/articles/681494

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