S-Essentially Compressible Modulesand S-Essentially Retractable Modules

Authors

  • Mohammed Baqer Hashim Al Hakeem Department of Mathematics, College of Science, University of Baghdad, Baghdad, Iraq
  • Nuhad S. Al-Mothafar Department of Mathematics, College of Science, University of Baghdad, Baghdad, Iraq

DOI:

https://doi.org/10.24996/ijs.2023.64.8.32

Keywords:

Essentially compressible, Small compressible, S-essentially compressible, Essentially retractable, S-essentially retractable

Abstract

     Let R be a commutative ring with 1 and M be a left unitary R-module. In this paper, we give a generalization for the notions of compressible (retractable) Modules. We study s-essentially compressible (s-essentially retractable). We give some of their advantages, properties, characterizations and examples. We also study the relation between s-essentially compressible   (s-essentially retractable modules) and some classes of modules.

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Published

2023-08-30

Issue

Vol 64 No 8 (2023)

Section

Mathematics

How to Cite

S-Essentially Compressible Modulesand S-Essentially Retractable Modules. (2023). Iraqi Journal of Science, 64(8), 4102-4108. https://doi.org/10.24996/ijs.2023.64.8.32
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