Monad of the hyperspaces of inclusion and its algebras
A monad (in the Eilenberg-Moore sense) on the category of compact spaces is constructed; it is defined by the inclusion hyperspace functor. The category of algebras of this monad is described and a characterization of the free algebras is given.
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| Date: | 1990 |
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| Main Authors: | , |
| Format: | Article |
| Language: | Russian |
| Published: |
Institute of Mathematics, NAS of Ukraine
1990
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/8841 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860513327731441664 |
|---|---|
| author | Radul, T. N. Радул, Т. Н. |
| author_facet | Radul, T. N. Радул, Т. Н. |
| author_sort | Radul, T. N. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2024-11-14T10:10:56Z |
| description | A monad (in the Eilenberg-Moore sense) on the category of compact spaces is constructed; it is defined by the inclusion hyperspace functor. The category of algebras of this monad is described and a characterization of the free algebras is given. |
| first_indexed | 2026-03-24T03:42:55Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-8841 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus |
| last_indexed | 2026-03-24T03:42:55Z |
| publishDate | 1990 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/c0/a9de3764a7640fb4228367d73b746bc0.pdf |
| spelling | umjimathkievua-article-88412024-11-14T10:10:56Z Monad of the hyperspaces of inclusion and its algebras Монада гиперпространств включения и ее алгебры Radul, T. N. Радул, Т. Н. A monad (in the Eilenberg-Moore sense) on the category of compact spaces is constructed; it is defined by the inclusion hyperspace functor. The category of algebras of this monad is described and a characterization of the free algebras is given. Строится монада в смысле С. Эйленберга и Дж. Мура на категории компактов, определяемая функтором гиперпространств включения. Приводится описание категории алгебр этой монады, а также характеризация свободных алгебр. Будується монада в розумінні С. Ейленберга і Дж. Мура на категорії компактів, яка визначається функтором гіперпросторів включення. Дається характеризація категорії алгебр цієї монади, а також характеризація вільних алгебр. Institute of Mathematics, NAS of Ukraine 1990-06-19 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/8841 Ukrains’kyi Matematychnyi Zhurnal; Vol. 42 No. 6 (1990); 806-811 Український математичний журнал; Том 42 № 6 (1990); 806-811 1027-3190 rus https://umj.imath.kiev.ua/index.php/umj/article/view/8841/10262 Copyright (c) 1990 T. N. Radul |
| spellingShingle | Radul, T. N. Радул, Т. Н. Monad of the hyperspaces of inclusion and its algebras |
| title | Monad of the hyperspaces of inclusion and its algebras |
| title_alt | Монада гиперпространств включения и ее алгебры |
| title_full | Monad of the hyperspaces of inclusion and its algebras |
| title_fullStr | Monad of the hyperspaces of inclusion and its algebras |
| title_full_unstemmed | Monad of the hyperspaces of inclusion and its algebras |
| title_short | Monad of the hyperspaces of inclusion and its algebras |
| title_sort | monad of the hyperspaces of inclusion and its algebras |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/8841 |
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