Radical functors in the category of modules over different rings

The category \(\mathcal{G}\) of all left modules over all rings is studied. Necessary and sufficient conditions for a preradical functor on \(\mathcal{G}\) to be radical are given. Radical functors on essential subcategories of \(\mathcal{G}\) are investigated.

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Bibliographic Details
Date:2018
Main Authors: Burban, Natalia, Horbachuk, Omelyan
Format: Article
Language:English
Published: Lugansk National Taras Shevchenko University 2018
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Online Access:https://admjournal.luguniv.edu.ua/index.php/adm/article/view/816
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Journal Title:Algebra and Discrete Mathematics

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Algebra and Discrete Mathematics