Essentially Compressible Modules Relative to A Submodule
DOI:
https://doi.org/10.24203/ajas.v8i5.6319Keywords:
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.
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Copyright (c) 2020 Shukur Neamah Al-Aeashi, Fatimah Hussein Al-Bakaa
This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.
Copyright © The Author(s). This article is published under the Creative Commons Attribution License (CC BY 4.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
