r-Small Compressible Modules and r-Small Retractable Modules
DOI:
https://doi.org/10.22401/anjs.29.3.3435Keywords:
Small submodules, r-Small submodules, Small compressible modules, Small retractable modulesAbstract
Assuming that is a commutative ring with unity, and be a left unitary -module. This work presents a generalization of the concepts of compressible and retractable modules. We specifically define and examine r-small compressible and r-small retractable modules. We examine their essential aspects, offer characterizations, and present instructive examples. Additionally, we investigate the relationships between these novel classes and existing established types of modules.
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Copyright (c) 2026 Mohammed Baqer Hashim Al Hakeem, Hiba R. Baanoon
This work is licensed under a Creative Commons Attribution 4.0 International License.
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