Pure-Hollow Modules and Pure-Lifting Modules

Khawla Ahmed; Nuhad S. Al. Mothafar

doi:10.24996/ijs.2024.65.3.32

Authors

Khawla Ahmed Department of Mathematics, College of Science, University of Baghdad, Iraq https://orcid.org/0009-0004-7107-8144
Nuhad S. Al. Mothafar Department of Mathematics, College of Science, University of Baghdad, Iraq

DOI:

https://doi.org/10.24996/ijs.2024.65.3.32

Keywords:

small submodule, hollow module, lifting module, Pure hollow, pure lifting

Abstract

Let be a commutative ring with identity, and be a unitary left R-module. In this paper we, introduce and study a new class of modules called pure hollow (Pr-hollow) and pure-lifting (Pr-lifting). We give a fundamental, properties of these concept. also, we, introduce some conditions under which the quotient and direct sum of Pr-lifting modules is Pr-lifting.

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Published

2024-03-29

Issue

Vol 65 No 3 (2024)

Section

Mathematics

License

This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.

How to Cite

[1]

K. Ahmed and N. S. Al. Mothafar, “Pure-Hollow Modules and Pure-Lifting Modules”, Iraqi Journal of Science, vol. 65, no. 3, pp. 1571–1577, Mar. 2024, doi: 10.24996/ijs.2024.65.3.32.