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Open Access Research Article

2-purely extending modules

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pp. 2169–2177Vol. 29Issue 5May 2026DOI: 10.47974/JDMSC-2720 Crossmark XML
Received:
01 Jan 2026
Published Online:
22 May 2026
Article type:
Research Article
Language:
EN
Article no.:
JDMSC-2720
Pages:
2169–2177

Abstract

In this paper, we give a new generalization for important class in the category of modules. There are 2-purely extending and the direct sum of 2-purely extending R-modules. In this work, study the relationships of 2-purely extending with extending module and purely extending. Are given some properties and results of these modules and other related concepts. We give a condition under which a 2-pure submodule of a 2-purely extending module is 2-purely extending. If M is 2-purely extending, then it is not necessary that every essential submodule of M is 2-purely extending, and provide examples that delineate our results. Also show that a 2-purely extending module is a generalized of purely extending. Moreover, the relationships with other related notes are discussed. 

Keywords

Subject Classifications

16D5016D4016D60

References

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