Semi-Essentially Compressible Modules and Semi-Essentially Retractable Modules

Authors

  • Mohammed Baqer Hashim Al Hakeem Department of Mathematics, college of Science, Baghdad University, Baghdad, Iraq
  • Nuhad Salim Al-Mothafar Department of Mathematics, college of Science, Baghdad University, Baghdad, Iraq

DOI:

https://doi.org/10.24996/ijs.2023.64.4.26

Keywords:

Compressible module, Retractable module, Essential compressible module, Essential retractable module, Semi- essential compressible, Semi- essential retractable

Abstract

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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Published

2023-04-30

Issue

Vol 64 No 4 (2023)

Section

Mathematics

How to Cite

Semi-Essentially Compressible Modules and Semi-Essentially Retractable Modules. (2023). Iraqi Journal of Science, 64(4), 1862-1868. https://doi.org/10.24996/ijs.2023.64.4.26
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