Radical small submodules and hollow modules

In this work, we give a new generalization for two important classes in the category of modules. There are Rad-small and Rad-hollow R-module. In this work, some properties and results of these submodule are given: A non-zero direct summand of any R-mod D is not Rad-small. Moreover, another characterization of Rad-hollow modules.

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Publication Details

Journal
Journal of Discrete Mathematical Sciences and Cryptography
Published
2025-01-01
DOI
https://doi.org/10.47974/jdmsc-2103
Primary Topic
2D Materials and Applications
Type
article
Field-Weighted Citation Impact
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article

Radical small submodules and hollow modules

Nuhad S. Al-Mothafar, Zainab T. Alzubiadey
Journal of Discrete Mathematical Sciences and Cryptography
2D Materials and Applications
article

Radical small submodules and hollow modules

Nuhad S. Al-Mothafar, Zainab T. Alzubiadey
article en

Abstract

In this work, we give a new generalization for two important classes in the category of modules. There are Rad-small and Rad-hollow R-module. In this work, some properties and results of these submodule are given: A non-zero direct summand of any R-mod D is not Rad-small. Moreover, another characterization of Rad-hollow modules.

Journal of Discrete Mathematical Sciences and Cryptography(4-A)
Openalex Percentile: Top 90%
2D Materials and Applications
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Radical small submodules and hollow modules — Nuhad S. Al-Mothafar, Zainab T. Alzubiadey · Journal of Discrete Mathematical Sciences and Cryptography (2025) | TGRS Research Map | TGRS