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Journals / International Electronic Journal of Algebra / 2026 / Volume: 15 Issue: 15

ON CLASSES OF MODULES CLOSED UNDER INJECTIVE HULLS AND ARTINIAN PRINCIPAL IDEAL RINGS

Alejandro Alvarado-garcía
César Cejudo-castilla
Hugo Alberto Rincón-mejía
Ivan Fernando Vilchis-montalvo
Pages
—
Publication Date
2014-06-01
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AI Summary & Key Takeaways

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

We obtain some characterizations of artinian principal ideal rings using properties of big lattices of module classes.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this work we consider some classes of modules closed under certain closure properties such as being closed under taking submodules, quotients, injective hulls and direct sums.
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Key Findings & Data:In this work we consider some classes of modules closed under certain closure properties such as being closed under taking submodules, quotients, injective hulls and direct sums.
💡
Conclusion & Impact:We obtain some characterizations of artinian principal ideal rings using properties of big lattices of module classes.
🔬Design:Article
📍Scope:Comprehensive Sample
⚙️Variables:Artinian principal ideal rings · big lattices of module classes · QF-rings

Abstract

In this work we consider some classes of modules closed under certain closure properties such as being closed under taking submodules, quotients, injective hulls and direct sums. We obtain some characterizations of artinian principal ideal rings using properties of big lattices of module classes.

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Cite This Article

Alvarado-garcía, A., Cejudo-castilla, C., Rincón-mejía, H. A., Vilchis-montalvo, I. F. (2014). ON CLASSES OF MODULES CLOSED UNDER INJECTIVE HULLS AND ARTINIAN PRINCIPAL IDEAL RINGS. International Electronic Journal of Algebra, Volume: 15 Issue: 15. https://doi.org/10.24330/ieja.266233

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References (12)

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  12. Alejandro Alvarado-Garc´ıa, C´esar Cejudo-Castilla, Hugo Alberto Rinc´on-Mej´ıa, Ivan Fernando Vilchis-Montalvo Departmento de Matem´aticas Facultad de Ciencias Universidad Nacional Aut´onoma de M´exico Circuito Exterior, C.U. M´exico, D.F. e-mails: [email protected] (A. Alvarado G.) [email protected] (C. Cejudo C.) [email protected] (H. A. Rinc´on M.) [email protected] (I.F. Vilchis M.)