On small endomorphic‎, small homomorphic ‎and ‎essential homomorphic modules

Document Type : Original Paper


Department of Mathematics, Faculty of Basic Science, Jundi-Shapur University of Technology, Dezful, Iran


‎In ‎this ‎paper ‎we‎ introduce and study the three concepts of small endomorphic, small homomorphic and essential homomorphic modules using the tools of endomorphism and homomorphism which are known in module theory as important means of transmitting some algebraic properties. We have also examined some of the relationships between these three concepts as well as their relationship to different categories of modules.


Main Subjects

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