F-Approximately Regular Modules

Ahmed K. Mawlood; Nuhad Salim Al-Mothafar

doi:10.24996/ijs.2022.63.12.30

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.