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

Vol 61 No 10 (2020)

Section

Mathematics

How to Cite

On y-closed Rickart Modules. (2020). Iraqi Journal of Science, 61(10), 2681-2686. https://doi.org/10.24996/ijs.2020.61.10.25
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