FI--J-supplemented modules

  • Abdlkareem Ali Department of mathematics, College of Science, University of Baghdad, Baghdad, Iraq
  • Wasan Khalid Department of mathematics, College of Science, University of Baghdad, Baghdad, Iraq
Keywords: cofinitely J-supplemented modules, fully invariant J-supplemented modules, fully invariant ⨁-J-supplemented modules

Abstract

A Module M is called cofinite  J- Supplemented  Module  if for every  cofinite submodule L of  M, there exists a submodule N of M such that M=L+N with   main properties of cof-J-supplemented modules.  An R-module M is called fully invariant-J-supplemented if for every fully invariant submodule N of M, there exists a submodule K of M, such that M = N + K with N  K K. A condition under which the direct sum of FI-J-supplemented modules is FI-J-supplemented was given. Also, some types of modules that are related to the FI-J-supplemented module were discussed.

Published
2021-05-31
How to Cite
Ali, A., & Khalid, W. (2021). FI--J-supplemented modules. Iraqi Journal of Science, 62(5), 1627-1634. https://doi.org/10.24996/ijs.2021.62.5.25
Section
Mathematics