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arXiv · 2209.04176

Modules in which pure submodule is essential in a direct summand

Kaushal Gupta·Shiv Kumar·Ashok Ji Gupta
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Abstract

In this paper, we study the class of modules have the property that every pure submodule is essential in a direct summand. These modules are termed as pure extending modules which is a proper generalisation of extending modules. Examples and counterexamples are given. We study some properties of pure extending modules and characterize regular ring, semisimple ring, local ring and PDS ring in terms of pure extending modules.

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Kaushal Gupta, Shiv Kumar, Ashok Ji Gupta. 2022-09-09. Modules in which pure submodule is essential in a direct summand. https://arxiv.org/abs/2209.04176

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