On Coretractable Module
Abhay Kumar Singh, Amrit Kumar Mahato
TL;DR
This paper explores the structure and properties of coretractable and mono-coretractable modules, providing characterizations and equivalent conditions related to their algebraic structure and module theory concepts.
Contribution
It offers new characterizations of coretractable modules using concepts like Kasch rings, CS modules, and projective modules, enriching the understanding of module structure.
Findings
Characterizations of coretractable modules in terms of Kasch rings and CS modules
Equivalent conditions related to coretractability and mono-coretractability
Connections between coretractable modules and projective, epi retractable modules
Abstract
The main aim of this paper is to discuss the structure of coretractble and mono-coretractble modules. We have provided the characterizations of coretractable modules in terms of Kasch ring, CS modules, mono-coretractble modules, projective modules, epi retractable modules, and retractable modules. We have also discussed some equivalent condition related with coretractbele and mono-coretractble modules.
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Taxonomy
TopicsRings, Modules, and Algebras · Advanced Algebra and Logic · Advanced Topics in Algebra