Jacobson Hopfian modules

The study of modules by properties of their endomorphisms has long been of interest. In this paper we introduce a proper generalization of that of Hopfian modules, called Jacobson Hopfian modules. A right \(R\)-module \(M\) is said to be Jacobson Hopfian, if any surjective endomorphism of \(M\) has...

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Bibliographic Details
Date:2022
Main Authors: El Moussaouy, A., Moniri Hamzekolaee, A., Ziane, M.
Format: Article
Language:English
Published: Lugansk National Taras Shevchenko University 2022
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Online Access:https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1842
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Journal Title:Algebra and Discrete Mathematics

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Algebra and Discrete Mathematics