F-J-semi Regular Modules

Lewaa R.  Turki; Wasan  Khalid

doi:10.24996/ijs.2022.63.5.30

Authors

Lewaa R. Turki Department of mathematics, college of science, University of Baghdad https://orcid.org/0000-0001-9433-4674
Wasan Khalid Department of mathematics, college of science, University of Baghdad

DOI:

https://doi.org/10.24996/ijs.2022.63.5.30

Keywords:

F-J- semi regular modules, R-F-J- semi regular modules, F-Jacobson hollow semi regular modules, CF-J-semi regular modules

Abstract

Let be a ring with identity and let be a left R-module. If is a proper submodule of and , is called --semi regular element in , If there exists a decoposition such that is projective submodule of and . The aim of this paper is to introduce properties of F-J-semi regular module. In particular, its characterizations are given. Furthermore, we introduce the concepts of Jacobson hollow semi regular module and --semiregular module. Finally, many results of Jacobson hollow semi regular module and --semiregular module are presented.