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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| Date: | 2018 |
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| Language: | English |
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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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oai:ojs.admjournal.luguniv.edu.ua:article-6412018-04-04T09:14:15Z Preradical and kernel functors over categories of \(S\)−acts Komarnitskiy, Mykola Oliynyk, Roman monoids, \(S\)−acts, preradical, quasi-filter 20F05, 20E05, 57M07 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 subquantale of quantale of pretorsion theory. Lugansk National Taras Shevchenko University 2018-04-04 Article Article Peer-reviewed Article application/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/view/641 Algebra and Discrete Mathematics; Vol 10, No 1 (2010) 2415-721X 1726-3255 en https://admjournal.luguniv.edu.ua/index.php/adm/article/view/641/175 Copyright (c) 2018 Algebra and Discrete Mathematics |
| institution |
Algebra and Discrete Mathematics |
| baseUrl_str |
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| datestamp_date |
2018-04-04T09:14:15Z |
| collection |
OJS |
| language |
English |
| topic |
monoids \(S\)−acts preradical quasi-filter 20F05 20E05 57M07 |
| spellingShingle |
monoids \(S\)−acts preradical quasi-filter 20F05 20E05 57M07 Komarnitskiy, Mykola Oliynyk, Roman Preradical and kernel functors over categories of \(S\)−acts |
| topic_facet |
monoids \(S\)−acts preradical quasi-filter 20F05 20E05 57M07 |
| format |
Article |
| author |
Komarnitskiy, Mykola Oliynyk, Roman |
| author_facet |
Komarnitskiy, Mykola Oliynyk, Roman |
| author_sort |
Komarnitskiy, Mykola |
| title |
Preradical and kernel functors over categories of \(S\)−acts |
| title_short |
Preradical and kernel functors over categories of \(S\)−acts |
| title_full |
Preradical and kernel functors over categories of \(S\)−acts |
| title_fullStr |
Preradical and kernel functors over categories of \(S\)−acts |
| title_full_unstemmed |
Preradical and kernel functors over categories of \(S\)−acts |
| title_sort |
preradical and kernel functors over categories of \(s\)−acts |
| description |
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 subquantale of quantale of pretorsion theory. |
| publisher |
Lugansk National Taras Shevchenko University |
| publishDate |
2018 |
| url |
https://admjournal.luguniv.edu.ua/index.php/adm/article/view/641 |
| work_keys_str_mv |
AT komarnitskiymykola preradicalandkernelfunctorsovercategoriesofsacts AT oliynykroman preradicalandkernelfunctorsovercategoriesofsacts |
| first_indexed |
2025-07-17T10:34:33Z |
| last_indexed |
2025-07-17T10:34:33Z |
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1837889983840518144 |