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Dergiler / Hacettepe Journal of Mathematics and Statistics / 2026 / Volume: 50 Issue: 4

On retractability and its relationships with lattices associated to a ring

Rodrigo Domínguez-lópez(Universidad Nacional Autónomo de México)0000-0003-3053-4786
Oscar Alberto Garrido-jıménez(Universidad Nacional Autónomo de México)0000-0001-6748-9857
Hugo Alberto Rincon Mejia(Universidad Nacional Autónoma de México)0000-0002-1527-8879
Manuel Gerardo Zorrilla-noriega(Universidad Nacional Autónomo de México)0000-0001-7461-1806
Sayfa
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Yayın Tarihi
2021-08-06
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

In the last section of this work, we introduce a binary relation between modules that produce a Galois connection between the lattice of natural classes and the lattice of conatural classes, and we obtain some results about it.

📌 3 Maddede Bu Makale

🎯
Amaç & Hipotez:The purpose of this work is threefold.
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Temel Bulgular & Veri:First, we explore some relationships between retractability and some lattices of classes of modules.
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Sonuç & Katkı:In the last section of this work, we introduce a binary relation between modules that produce a Galois connection between the lattice of natural classes and the lattice of conatural classes, and we obtain some results about it.
🔬Tür:Research Article
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:left mod-retractable ring · parainjective module · paraprojective module

Abstract

The purpose of this work is threefold. First, we explore some relationships between retractability and some lattices of classes of modules. Secondly, we weaken the hypothesis of a result of Ohtake characterizing rings over which all radicals are left exact. In the last section of this work, we introduce a binary relation between modules that produce a Galois connection between the lattice of natural classes and the lattice of conatural classes, and we obtain some results about it.

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Bu Makaleye Atıf Yap

Domínguez-lópez, R., Garrido-jıménez, O. A., Mejia, H. A. R., Zorrilla-noriega, M. G. (2021). On retractability and its relationships with lattices associated to a ring. Hacettepe Journal of Mathematics and Statistics, Volume: 50 Issue: 4. https://doi.org/10.15672/hujms.799818

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Kaynakça (15)

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