Strongly Weakly Supplement Extending Modules

Authors

  • Aya Adnan Musa Department of Mathematics, College of Science, Mustansiriyah University.
  • Saad A. Al-Saadi Department of Mathematics, College of Science, Mustansiriyah University. http://orcid.org/0000-0003-0735-0751

DOI:

https://doi.org/10.23851/mjs.v30i4.682

Keywords:

Keywords, extending module, strongly extending module, weakly supplement submodule, weakly supplement extending module, strongly weakly supplement extending module.

Abstract

In this paper, a class of modules which are proper strong concept of weakly supplement extending modules will be introduced and studied. We call a module M is strongly weakly supplement extending, if each submodule of M is essential in fully invariant weakly supplement submodule in M. Many characterizations of strongly weakly supplement extending modules are obtained. We show that M is strongly weakly supplement extending module if and only if every closed submodule of M is fully invariant weakly supplement submodule in M. Also we study the relation among this concept and other known concepts of modules. Moreover, we give some conditions that of strongly weakly supplement extending modules is closed under direct sum property is strongly weakly supplement extending.

References

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Published

2020-01-15

How to Cite

[1]
A. A. Musa and S. A. Al-Saadi, “Strongly Weakly Supplement Extending Modules”, MJS, vol. 30, no. 4, pp. 71–76, Jan. 2020.

Issue

Section

Mathematics

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