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Dergiler / Hacettepe Journal of Mathematics and Statistics / 2021 / Cilt: 50 - Sayı: 4

On retractability and its relationships with lattices associated to a ring

Manuel Gerardo Zorrilla-Noriega
Manuel Gerardo Zorrilla Noriega
Rodrigo Domínguez López
Oscar Alberto Garrido Jiménez
Sayfa
1079–1093
Yayın Tarihi
2022-10-18
DOI
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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:Araştırma Makalesi
📍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

Zorrilla-Noriega, M. G., Noriega, M. G. Z., López, R. D., Jiménez, O. A. G. (2022). On retractability and its relationships with lattices associated to a ring. Hacettepe Journal of Mathematics and Statistics, Cilt: 50 - Sayı: 4, 1079–1093. https://ajindex.com/articles/529508

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Kaynakça (15)

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