S-Essentially Compressible Modulesand S-Essentially Retractable Modules

Mohammed Baqer Hashim Al Hakeem; Nuhad S. Al-Mothafar

doi:10.24996/ijs.2023.64.8.32

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.