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Dergiler / Hacettepe Journal of Mathematics and Statistics / 2020 / Cilt: 49 - Sayı: 3

D-Extending Modules

Yılmaz DURĞUN
Sayfa
914–920
Yayın Tarihi
2022-10-18
DOI
—
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

The structure of a ring over which d-closed submodules of every module are direct summand (respectively, closed, pure) is studied.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:A submodule $N$ of a module $M$ is called d-closed if $M/N$ has a zero socle.
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Temel Bulgular & Veri:D-closed submodules are similar concept to s-closed submodules, which are defined through nonsingular modules by Goodearl.
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Sonuç & Katkı:The structure of a ring over which d-closed submodules of every module are direct summand (respectively, closed, pure) is studied.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:D-extending modules · d-closed submodules · semiartinian modules

Abstract

A submodule $N$ of a module $M$ is called d-closed if $M/N$ has a zero socle. D-closed submodules are similar concept to s-closed submodules, which are defined through nonsingular modules by Goodearl. In this article we deal with modules with the property that all d-closed submodules are direct summands (respectively, closed, pure). The structure of a ring over which d-closed submodules of every module are direct summand (respectively, closed, pure) is studied.

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Bu Makaleye Atıf Yap

DURĞUN, Y. (2022). D-Extending Modules. Hacettepe Journal of Mathematics and Statistics, Cilt: 49 - Sayı: 3, 914–920. https://ajindex.com/articles/529626

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