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Dergiler / Hacettepe Journal of Mathematics and Statistics / 2010 / Cilt: 39 - Sayı: 2

Cofinitely injective and projective modules

C. NEBİYEV
A. PANCAR
Sayfa
171–182
Yayın Tarihi
2022-10-18
DOI
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

If every cofinitely M-projective (M-injective) module is M-projective (M-injective) then RadM $neq$ M.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:In this work, cofinitely injective and cofinitely projective modules are defined.
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Temel Bulgular & Veri:Some properties of cofinitely injective and cofinitely projec- tive modules are investigated.
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Sonuç & Katkı:If every cofinitely M-projective (M-injective) module is M-projective (M-injective) then RadM $neq$ M.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Alan Parametreleri

Abstract

In this work, cofinitely injective and cofinitely projective modules are defined. Some properties of cofinitely injective and cofinitely projec- tive modules are investigated. Let N be an R-module. Then every R-module is cofinitely N-injective if and only if every cofinite submod- ule of N is a direct summand. This is also true for cofinitely pro- jective modules. Let M be a nonzero R-module. If every cofinitely M-projective (M-injective) module is M-projective (M-injective) then RadM $neq$ M.

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Bu Makaleye Atıf Yap

NEBİYEV, C., PANCAR, A. (2022). Cofinitely injective and projective modules. Hacettepe Journal of Mathematics and Statistics, Cilt: 39 - Sayı: 2, 171–182. https://ajindex.com/articles/530623

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Kaynakça (10)

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