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 subquantale of qu...
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| Дата: | 2010 |
|---|---|
| Автори: | , |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут прикладної математики і механіки НАН України
2010
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| Назва видання: | Algebra and Discrete Mathematics |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/154585 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | Preradical and kernel functors over categories of S−acts / M. Komarnitskiy, R. Oliynyk // Algebra and Discrete Mathematics. — 2010. — Vol. 10, № 1. — С. 57–66. — Бібліогр.: 12 назв. — англ. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
irk-123456789-154585 |
|---|---|
| record_format |
dspace |
| spelling |
irk-123456789-1545852019-06-16T01:31:00Z Preradical and kernel functors over categories of S−acts Komarnitskiy, M. Oliynyk, R. 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. 2010 Article Preradical and kernel functors over categories of S−acts / M. Komarnitskiy, R. Oliynyk // Algebra and Discrete Mathematics. — 2010. — Vol. 10, № 1. — С. 57–66. — Бібліогр.: 12 назв. — англ. 1726-3255 2000 Mathematics Subject Classification:20F05, 20E05, 57M07 http://dspace.nbuv.gov.ua/handle/123456789/154585 en Algebra and Discrete Mathematics Інститут прикладної математики і механіки НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| 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. |
| format |
Article |
| author |
Komarnitskiy, M. Oliynyk, R. |
| spellingShingle |
Komarnitskiy, M. Oliynyk, R. Preradical and kernel functors over categories of S−acts Algebra and Discrete Mathematics |
| author_facet |
Komarnitskiy, M. Oliynyk, R. |
| author_sort |
Komarnitskiy, M. |
| 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 |
| publisher |
Інститут прикладної математики і механіки НАН України |
| publishDate |
2010 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/154585 |
| citation_txt |
Preradical and kernel functors over categories of S−acts / M. Komarnitskiy, R. Oliynyk // Algebra and Discrete Mathematics. — 2010. — Vol. 10, № 1. — С. 57–66. — Бібліогр.: 12 назв. — англ. |
| series |
Algebra and Discrete Mathematics |
| work_keys_str_mv |
AT komarnitskiym preradicalandkernelfunctorsovercategoriesofsacts AT oliynykr preradicalandkernelfunctorsovercategoriesofsacts |
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2023-05-20T17:44:56Z |
| last_indexed |
2023-05-20T17:44:56Z |
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1796154005689204736 |