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Dergiler / Journal of Algebra Combinatorics Discrete Structures and Applications / 2026 / Cilt: 6 Sayı: 2

Coretractable modules relative to a submodule

Ali Reza Moniri Hamzekolaee0000-0002-2852-7870
Yahya Talebi0000-0003-2311-4628
Sayfa
95–103
Yayın Tarihi
2019-05-07
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

We also provide some examples to illustrate special cases.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:Let $R$ be a ring and $M$ a right $R$-module.
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Temel Bulgular & Veri:Let $N$ be a proper submodule of $M$.
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Sonuç & Katkı:We also provide some examples to illustrate special cases.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Coretractable module · N-coretractable module · Coretractable module

Abstract

Let $R$ be a ring and $M$ a right $R$-module. Let $N$ be a proper submodule of $M$. We say that $M$ is $N$-coretractable (or $M$ is coretractable relative to $N$) provided that, for every proper submodule $K$ of $M$ containing $N$, there is a nonzero homomorphism $f:M/K\rightarrow M$. We present some conditions that a module $M$ is coretractable if and only if $M$ is coretractable relative to a submodule $N$. We also provide some examples to illustrate special cases.

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Bu Makaleye Atıf Yap

Hamzekolaee, A. R. M., Talebi, Y. (2019). Coretractable modules relative to a submodule. Journal of Algebra Combinatorics Discrete Structures and Applications, Cilt: 6 Sayı: 2, 95–103. https://doi.org/10.13069/jacodesmath.561322

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Kaynakça (15)

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