$S$-colocalization and Adams cocompletion
UDC 512 A relationship between the $S$-colocalization of an object and the  Adams cocompletion of the same object in a complete small $\mathscr{U}$-category ($\mathscr{U}$ is a fixed Grothendieck universe)   is established, together with a specific set of morphisms $S.$
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| Date: | 2023 |
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| Main Authors: | , |
| Format: | Article |
| Language: | English |
| Published: |
Institute of Mathematics, NAS of Ukraine
2023
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/916 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860507224756977664 |
|---|---|
| author | Choudhury, Snigdha Bharati Behera, A. Choudhury, Snigdha Bharati Behera, A. |
| author_facet | Choudhury, Snigdha Bharati Behera, A. Choudhury, Snigdha Bharati Behera, A. |
| author_sort | Choudhury, Snigdha Bharati |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2024-06-19T00:34:30Z |
| description | UDC 512
A relationship between the $S$-colocalization of an object and the  Adams cocompletion of the same object in a complete small $\mathscr{U}$-category ($\mathscr{U}$ is a fixed Grothendieck universe)   is established, together with a specific set of morphisms $S.$ |
| doi_str_mv | 10.3842/umzh.v75i8.916 |
| first_indexed | 2026-03-24T02:05:55Z |
| format | Article |
| fulltext | |
| id | umjimathkievua-article-916 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | English |
| last_indexed | 2026-03-24T02:05:55Z |
| publishDate | 2023 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | |
| spelling | umjimathkievua-article-9162024-06-19T00:34:30Z $S$-colocalization and Adams cocompletion $S$-colocalization and Adams cocompletion Choudhury, Snigdha Bharati Behera, A. Choudhury, Snigdha Bharati Behera, A. $S$-COLOCALIZATION UDC 512 A relationship between the $S$-colocalization of an object and the  Adams cocompletion of the same object in a complete small $\mathscr{U}$-category ($\mathscr{U}$ is a fixed Grothendieck universe)   is established, together with a specific set of morphisms $S.$ УДК 512 $S$-Колокалізація та копоповнення Адамса Встановлено зв’язок між $S$-колокалізацією об’єкта та копоповненням Адамса того самого об’єкта в деякій повній малій $\mathscr{U}$-категорії ($\mathscr{U}$ – фіксований всесвіт Гротендіка), а також специфічну  множину морфізмів~$S.$ Institute of Mathematics, NAS of Ukraine 2023-08-30 Article Article https://umj.imath.kiev.ua/index.php/umj/article/view/916 10.3842/umzh.v75i8.916 Ukrains’kyi Matematychnyi Zhurnal; Vol. 75 No. 8 (2023); 1133 - 1138 Український математичний журнал; Том 75 № 8 (2023); 1133 - 1138 1027-3190 en https://umj.imath.kiev.ua/index.php/umj/article/view/916/9743 Copyright (c) 2023 Snigdha Bharati Choudhury, A. Behera |
| spellingShingle | Choudhury, Snigdha Bharati Behera, A. Choudhury, Snigdha Bharati Behera, A. $S$-colocalization and Adams cocompletion |
| title | $S$-colocalization and Adams cocompletion |
| title_alt | $S$-colocalization and Adams cocompletion |
| title_full | $S$-colocalization and Adams cocompletion |
| title_fullStr | $S$-colocalization and Adams cocompletion |
| title_full_unstemmed | $S$-colocalization and Adams cocompletion |
| title_short | $S$-colocalization and Adams cocompletion |
| title_sort | $s$-colocalization and adams cocompletion |
| topic_facet | $S$-COLOCALIZATION |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/916 |
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