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Semi-Essentially Compressible Modules and Semi-Essentially Retractable Modules
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Let be a commutative ring with 1 and be a left unitary . In this paper, the generalizations for the notions of compressible module and retractable module are given.
An is termed to be semi-essentially compressible if can be embedded in every of a non-zero semi-essential submodules. An is termed a semi-essentially retractable module, if for every non-zero semi-essentially submodule of an . Some of their advantages characterizations and examples are given. We also study the relation between these classes and some other classes of modules.
University of Baghdad College of Science
Title: Semi-Essentially Compressible Modules and Semi-Essentially Retractable Modules
Description:
Let be a commutative ring with 1 and be a left unitary .
In this paper, the generalizations for the notions of compressible module and retractable module are given.
An is termed to be semi-essentially compressible if can be embedded in every of a non-zero semi-essential submodules.
An is termed a semi-essentially retractable module, if for every non-zero semi-essentially submodule of an .
Some of their advantages characterizations and examples are given.
We also study the relation between these classes and some other classes of modules.
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