On y-closed Rickart Modules

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.

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Published

2020-10-28

Issue

Section

Mathematics

How to Cite

[1]
B. hamad . Al-Bahrani and M. Q. . Rahman, “On y-closed Rickart Modules”, Iraqi Journal of Science, vol. 61, no. 10, pp. 2681–2686, Oct. 2020, doi: 10.24996/ijs.2020.61.10.25.

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