Pure-Hollow Modules and Pure-Lifting Modules

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

Section

Mathematics

How to Cite

Pure-Hollow Modules and Pure-Lifting Modules. (2024). Iraqi Journal of Science, 65(3), 1571-1577. https://doi.org/10.24996/ijs.2024.65.3.32

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