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

• Datum: 2018
• Hauptverfasser: Komarnitskiy, Mykola, Oliynyk, Roman
• Format: Artikel
• Sprache: Englisch
• Veröffentlicht: Lugansk National Taras Shevchenko University 2018
• Schlagworte: monoids; \(S\)−acts; preradical; quasi-filter; 20F05; 20E05; 57M07
• Online Zugang: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/641
• Назва журналу: 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...