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Dergiler / 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)
Sayfa
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Yayın Tarihi
2026-01-10
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Yapay Zeka Hızlı Bakış & Çıkarımlar

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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

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

📌 3 Maddede Bu Makale

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Amaç & Hipotez: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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Temel Bulgular & Veri:Iosif, the lattice-theoretic counterparts of semi-projective retractable modules and their ring of endomorphisms.
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Sonuç & Katkı:That is, we introduce the concept of semi-injective coretractable lattices, and we study their relation to their monoid of endomorphisms.
🔬Tür:Research Article
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler: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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Bu Makaleye Atıf Yap

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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Kaynakça (15)

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  8. F. Gonzalez Bayona, S. Pardo-Guerra, M. G. Zorrilla-Noriega and H. A. Rincon-Mejia, On semi-projective modular lattices, Int. Electron. J. Algebra, 38 (2025), 104-138.
  9. M. Grandis, Category Theory and Applications, a textbook for beginners, second edition, World Scientific Publishing Co. Pte. Ltd., Hackensack, NJ, 2021.
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  12. S. Pardo-Guerra, H. A. Rincon-Mejia and M. G. Zorrilla-Noriega, Some isomorphic big lattices and some properties of lattice preradicals, J. Algebra Appl., 19(7) (2020), 2050140 (29 pp).
  13. S. Pardo-Guerra, H. A. Rincon-Mejia and M. G. Zorrilla-Noriega, Big lattices of hereditary and natural classes of linear modular lattices, Algebra Universalis, 82(4) (2021), 52 (15 pp).
  14. S. Pardo-Guerra, H. A. Rincon-Mejia, M. G. Zorrilla-Noriega and F. Gonzalez-Bayona, On the lattice of conatural classes of linear modular lattices, Algebra Universalis, 84(4) (2023), 29 (18 pp).
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