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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| Datum: | 2018 |
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| Format: | Artikel |
| Sprache: | Englisch |
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Lugansk National Taras Shevchenko University
2018
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| Online Zugang: | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/641 |
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| Назва журналу: | Algebra and Discrete Mathematics |
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Algebra and Discrete Mathematics| _version_ | 1856543432243150848 |
|---|---|
| author | Komarnitskiy, Mykola Oliynyk, Roman |
| author_facet | Komarnitskiy, Mykola Oliynyk, Roman |
| author_sort | Komarnitskiy, Mykola |
| baseUrl_str | |
| collection | OJS |
| datestamp_date | 2018-04-04T09:14:15Z |
| 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. |
| first_indexed | 2026-02-08T07:59:34Z |
| format | Article |
| id | admjournalluguniveduua-article-641 |
| institution | Algebra and Discrete Mathematics |
| language | English |
| last_indexed | 2026-02-08T07:59:34Z |
| publishDate | 2018 |
| publisher | Lugansk National Taras Shevchenko University |
| record_format | ojs |
| spelling | admjournalluguniveduua-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 |
| spellingShingle | monoids \(S\)−acts preradical quasi-filter 20F05 20E05 57M07 Komarnitskiy, Mykola Oliynyk, Roman Preradical and kernel functors over categories of \(S\)−acts |
| title | 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_short | Preradical and kernel functors over categories of \(S\)−acts |
| title_sort | preradical and kernel functors over categories of \(s\)−acts |
| topic | monoids \(S\)−acts preradical quasi-filter 20F05 20E05 57M07 |
| topic_facet | monoids \(S\)−acts preradical quasi-filter 20F05 20E05 57M07 |
| url | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/641 |
| work_keys_str_mv | AT komarnitskiymykola preradicalandkernelfunctorsovercategoriesofsacts AT oliynykroman preradicalandkernelfunctorsovercategoriesofsacts |