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AI Insight⚡ TL;DR(1 Cümlede Hızlı Çıkarım)
Tercan would like to thank him for this reference.
📌 3 Maddede Bu Makale
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Amaç & Hipotez:After the paper [1] was published, the following information about D-extending modules was pointed out by Adnan Tercan.
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Temel Bulgular & Veri:A submodule $N$ of $M$ is called exact in $M$ provided $r(M/N)=0$.
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Sonuç & Katkı:Tercan would like to thank him for this reference.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:D-extending modules · d-closed submodules · semiartinian modules
Abstract
After the paper [1] was published, the following information about D-extending modules was pointed out by Adnan Tercan. Let $r$ be a left exact preradical in the category of right $R$-modules and let $M$ be a right $R$-module. A submodule $N$ of $M$ is called exact in $M$ provided $r(M/N)=0$. A module $M$ is called an ES-module provided every exact submodule of $M$ is a direct summand of $M$. ES-modules was introduced by A. Tercan in [2]. Since socle is left exact preradical, ES-modules coincide with D-extending modules for $r=Soc$.The author who first noticed the ES-module via personal communication with A. Tercan would like to thank him for this reference.
Anahtar kelimeler
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Bu Makaleye Atıf Yap
Durgun, Y. (2022). Addendum to "D-extending modules" [Hacet. J. Math. Stat. 49(3), 914-920, 2020]. Hacettepe Journal of Mathematics and Statistics, Cilt: 50 - Sayı: 4, 1169–1169. https://ajindex.com/articles/529551