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

• Date: 2018
• Main Authors: Komarnitskiy, Mykola, Oliynyk, Roman
• Format: Article
• Language: English
• Published: Lugansk National Taras Shevchenko University 2018
• Subjects: monoids; \(S\)−acts; preradical; quasi-filter; 20F05; 20E05; 57M07
• Online Access: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/641
• Journal Title: Algebra and Discrete Mathematics

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...