On y-closed Rickart Modules

Bahar hamad  Al-Bahrani; Mohammed Qader  Rahman

doi:10.24996/ijs.2020.61.10.25

Authors

Bahar hamad Al-Bahrani Department of Mathematics, College of Science, University of Baghdad, Baghdad, Iraq
Mohammed Qader Rahman Department of Mathematics, College of Science, University of Baghdad, Baghdad, Iraq

DOI:

https://doi.org/10.24996/ijs.2020.61.10.25

Keywords:

y-closed submodule, y-closed simple, y- closed Rickart modules

Abstract

In a previous work, Ali and Ghawi studied closed Rickart modules. The main purpose of this paper is to define and study the properties of y-closed Rickart modules .We prove that, Let and be two -modules such that is singular. Then is -y-closed Rickart module if and only if Also, we study the direct sum of y-closed Rickart modules.