Journal of Advanced Mathematical Modeling

Journal of Advanced Mathematical Modeling

On small endomorphic‎, small homomorphic ‎and ‎essential homomorphic modules

Document Type : Original Paper

Authors
Alireza Alehafttan
Amir Assari
Hossein Kasiri
Department of Mathematics, Faculty of Basic Science, Jundi-Shapur University of Technology, Dezful, Iran
10.22055/jamm.2023.40856.2041
Abstract
‎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.
Keywords
small endomorphic&lrm
small homomorphic&lrm
essential homomorphic
Subjects
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  • Receive Date 18 May 2022
  • Revise Date 17 December 2022
  • Accept Date 19 December 2022