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Journals / International Electronic Journal of Algebra / 2026 / Volume: 39 Issue: 39

On semi-injective lattices

Francisco Gonzalez-bayona(Universidad Nacional Autonoma de Mexico)
Sebastian Pardo-guerra(University of California)
Manuel Gerardo Zorrilla-noriega(Universidad Nacional Autonoma de Mexico)
Hugo Alberto Rincon Mejia(Universidad Nacional Autonoma de Mexico)
Pages
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Publication Date
2026-01-10
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AI Summary & Key Takeaways

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

That is, we introduce the concept of semi-injective coretractable lattices, and we study their relation to their monoid of endomorphisms.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In a previous paper, we explored, in the context of the category $ \mathcal{L_M} $ of complete modular lattices and linear morphisms introduced by T.
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Key Findings & Data:Iosif, the lattice-theoretic counterparts of semi-projective retractable modules and their ring of endomorphisms.
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Conclusion & Impact:That is, we introduce the concept of semi-injective coretractable lattices, and we study their relation to their monoid of endomorphisms.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Complete modular lattice · semi-injective lattice · retractable lattice

Abstract

In a previous paper, we explored, in the context of the category $ \mathcal{L_M} $ of complete modular lattices and linear morphisms introduced by T. Albu and M. Iosif, the lattice-theoretic counterparts of semi-projective retractable modules and their ring of endomorphisms. In this work, we investigate the dual situation. That is, we introduce the concept of semi-injective coretractable lattices, and we study their relation to their monoid of endomorphisms.

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Cite This Article

Gonzalez-bayona, F., Pardo-guerra, S., Zorrilla-noriega, M. G., Mejia, H. A. R. (2026). On semi-injective lattices. International Electronic Journal of Algebra, Volume: 39 Issue: 39. https://doi.org/10.24330/ieja.1778490

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References (15)

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