A Note on Coretractable Modules

  • Unique Paper ID: 193402
  • Volume: 12
  • Issue: 10
  • PageNo: 269-273
  • Abstract:
  • We discuss the structures of coretractable and mono-coretractable modules. We provide the characterizations of coretractable modules in term of Kasch rings, CS modules, mono-coretractable modules, projective modules, epi- retractable modules and retractable modules. We derive some equivalent condi- tions related with coretractable and mono-coretractable modules. Among others, some results of coretractable modules in term of symmetric modules are obtained.

Copyright & License

Copyright © 2026 Authors retain the copyright of this article. This article is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

BibTeX

@article{193402,
        author = {Dr. Amrit Kumar Mahato},
        title = {A Note on Coretractable Modules},
        journal = {International Journal of Innovative Research in Technology},
        year = {2026},
        volume = {12},
        number = {10},
        pages = {269-273},
        issn = {2349-6002},
        url = {https://ijirt.org/article?manuscript=193402},
        abstract = {We discuss the structures of coretractable and mono-coretractable modules. We provide the characterizations of coretractable modules in term of Kasch rings, CS modules, mono-coretractable modules, projective modules, epi- retractable modules and retractable modules. We derive some equivalent condi- tions related with coretractable and mono-coretractable modules. Among others, some results of coretractable modules in term of symmetric modules are obtained.},
        keywords = {retractable module; coretractable module; mono-coretactable mod- ule; Kasch ring; Kasch module. 2010 Mathematics Subject Classification: 16D50; 16D70; 16D80.},
        month = {March},
        }

Cite This Article

Mahato, D. A. K. (2026). A Note on Coretractable Modules. International Journal of Innovative Research in Technology (IJIRT), 12(10), 269–273.

Related Articles