FI--J-supplemented modules

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...

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Bibliographic Details
Published in:Iraqi journal of science 2021-05, p.1627-1634
Main Authors: Ali, Abdlkareem, Khalid, Wasan
Format: Article
Language:English
Online Access:Get full text
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Summary: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.
ISSN:0067-2904
2312-1637
DOI:10.24996/ijs.2021.62.5.25