F-Approximately Regular Modules

Authors

  • Ahmed K. Mawlood Department of Mathematics, College of Science, University of Baghdad, Baghdad, Iraq
  • Nuhad Salim Al-Mothafar Department of Mathematics, College of Science, University of Baghdad, Baghdad, Iraq

DOI:

https://doi.org/10.24996/ijs.2022.63.12.30

Keywords:

Approximately pure submodules, F-approximately regular modules, Pure submodules, regular modules

Abstract

We introduce in this paper the concept of an approximately pure submodule as a     generalization of a pure submodule, that is defined by Anderson and Fuller. If every submodule of an R-module  is approximately pure, then  is called F-approximately regular. Further, many results about this concept are given.

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Published

2022-12-30

Issue

Section

Mathematics

How to Cite

F-Approximately Regular Modules. (2022). Iraqi Journal of Science, 63(12), 5447-5454. https://doi.org/10.24996/ijs.2022.63.12.30

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