Preradical and kernel functors over categories of \(S\)−acts

We concider the big lattices of preradicals and kernel functors over some cathegories of centered \(S-\)acts, where \(S\) is monoid whit zero. We prove that those big lattices are two elements if and only if monoid \(S-\) is groups with zero. A subset of a Rees generated pretorsion theory is a subqu...

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Bibliographic Details
Date:2018
Main Authors: Komarnitskiy, Mykola, Oliynyk, Roman
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/641
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Journal Title:Algebra and Discrete Mathematics

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Algebra and Discrete Mathematics