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Open Access Research Article

Radical small submodules and hollow modules

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pp. 1131–1136Vol. 28Issue 4-AJune 2025DOI: 10.47974/JDMSC-2103 Crossmark XML
Received:
10 Dec 2024
Published Online:
26 Jun 2025
Article type:
Research Article
Language:
EN
Article no.:
JDMSC-2103
Pages:
1131–1136

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. 

Keywords

Subject Classifications

06F2511F52

References

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