Essentially Compressible Modules Relative to A Submodule

Authors

  • Shukur Neamah Al-Aeashi Department of Mathematics, College of Education, University of Kufa Najaf, Iraq http://orcid.org/0000-0002-9886-3247
  • Fatimah Hussein Al-Bakaa Department of Mathematics, College of Computer Science And Mathematics, University of Kufa Najaf, Iraq

DOI:

https://doi.org/10.24203/ajas.v8i5.6319

Keywords:

Compressible module relative to a submodule, Retractable module relative to a submodule, Essentially Compressible module relative to a submodule, Essentially Retractable module relative to a submodule.

Abstract

   In this work, the new notion is defined namely essentially compressible relative to a submodule, as a new generalization of the compressible module relative to a submodule where a module is called compressible module relative to a submodule N of M  if for all non-zero submodule of  such that contains N, there exists a monomorphism f Hom( ). We study some basic properties of this class and many relationships between these classes and other related concepts are presented and studied.

Author Biography

Shukur Neamah Al-Aeashi, Department of Mathematics, College of Education, University of Kufa Najaf, Iraq

Department od Urban Planning

Head Department

References

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Published

2020-10-30

How to Cite

Al-Aeashi, S. N., & Hussein Al-Bakaa, F. (2020). Essentially Compressible Modules Relative to A Submodule . Asian Journal of Applied Sciences, 8(5). https://doi.org/10.24203/ajas.v8i5.6319

Issue

Vol. 8 No. 5 (2020): October 2020

Section

Articles

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Copyright (c) 2020 Shukur Neamah Al-Aeashi, Fatimah Hussein Al-Bakaa

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