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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| Published in: | Algebra and Discrete Mathematics |
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| Date: | 2010 |
| Main Authors: | , |
| Format: | Article |
| Language: | English |
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Інститут прикладної математики і механіки НАН України
2010
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/154585 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | 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. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862590344438218752 |
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| author | Komarnitskiy, M. Oliynyk, R. |
| author_facet | Komarnitskiy, M. Oliynyk, R. |
| 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. |
| collection | DSpace DC |
| container_title | Algebra and Discrete Mathematics |
| 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.
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| first_indexed | 2025-11-27T04:32:15Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-154585 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1726-3255 |
| language | English |
| last_indexed | 2025-11-27T04:32:15Z |
| publishDate | 2010 |
| publisher | Інститут прикладної математики і механіки НАН України |
| record_format | dspace |
| spelling | Komarnitskiy, M. Oliynyk, R. 2019-06-15T16:36:30Z 2019-06-15T16:36:30Z 2010 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 https://nasplib.isofts.kiev.ua/handle/123456789/154585 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. en Інститут прикладної математики і механіки НАН України Algebra and Discrete Mathematics Preradical and kernel functors over categories of S−acts Article published earlier |
| spellingShingle | Preradical and kernel functors over categories of S−acts Komarnitskiy, M. Oliynyk, R. |
| 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 |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/154585 |
| work_keys_str_mv | AT komarnitskiym preradicalandkernelfunctorsovercategoriesofsacts AT oliynykr preradicalandkernelfunctorsovercategoriesofsacts |