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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