Globalizations for partial (co)actions on coalgebras
In this paper, we introduce the notion of globalization for partial module coalgebra and for partial comodule coalgebra. We show that every partial module coalgebra is globalizable exhibiting a standard globalization. We also show the existence of globalization for a partial comodule coalgebra, prov...
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| Date: | 2019 |
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| Language: | English |
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Lugansk National Taras Shevchenko University
2019
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| Online Access: | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/253 |
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| Journal Title: | Algebra and Discrete Mathematics |
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admjournalluguniveduua-article-2532019-07-14T19:54:06Z Globalizations for partial (co)actions on coalgebras Castro, Felipe Quadros, Glauber Hopf algebras, partial action, partial coaction, globalization, partial module coalgebra, partial comodule coalgebra 16T15; 16T99, 16W22 In this paper, we introduce the notion of globalization for partial module coalgebra and for partial comodule coalgebra. We show that every partial module coalgebra is globalizable exhibiting a standard globalization. We also show the existence of globalization for a partial comodule coalgebra, provided a certain rationality condition. Moreover, we show a relationship between the globalization for the (co)module coalgebra and the usual globalization for the (co)module algebra. Lugansk National Taras Shevchenko University CNPq 2019-07-14 Article Article Peer-reviewed Article application/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/view/253 Algebra and Discrete Mathematics; Vol 27, No 2 (2019) 2415-721X 1726-3255 en https://admjournal.luguniv.edu.ua/index.php/adm/article/view/253/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/downloadSuppFile/253/103 Copyright (c) 2019 Algebra and Discrete Mathematics |
| institution |
Algebra and Discrete Mathematics |
| baseUrl_str |
|
| datestamp_date |
2019-07-14T19:54:06Z |
| collection |
OJS |
| language |
English |
| topic |
Hopf algebras partial action partial coaction globalization partial module coalgebra partial comodule coalgebra 16T15; 16T99 16W22 |
| spellingShingle |
Hopf algebras partial action partial coaction globalization partial module coalgebra partial comodule coalgebra 16T15; 16T99 16W22 Castro, Felipe Quadros, Glauber Globalizations for partial (co)actions on coalgebras |
| topic_facet |
Hopf algebras partial action partial coaction globalization partial module coalgebra partial comodule coalgebra 16T15; 16T99 16W22 |
| format |
Article |
| author |
Castro, Felipe Quadros, Glauber |
| author_facet |
Castro, Felipe Quadros, Glauber |
| author_sort |
Castro, Felipe |
| title |
Globalizations for partial (co)actions on coalgebras |
| title_short |
Globalizations for partial (co)actions on coalgebras |
| title_full |
Globalizations for partial (co)actions on coalgebras |
| title_fullStr |
Globalizations for partial (co)actions on coalgebras |
| title_full_unstemmed |
Globalizations for partial (co)actions on coalgebras |
| title_sort |
globalizations for partial (co)actions on coalgebras |
| description |
In this paper, we introduce the notion of globalization for partial module coalgebra and for partial comodule coalgebra. We show that every partial module coalgebra is globalizable exhibiting a standard globalization. We also show the existence of globalization for a partial comodule coalgebra, provided a certain rationality condition. Moreover, we show a relationship between the globalization for the (co)module coalgebra and the usual globalization for the (co)module algebra. |
| publisher |
Lugansk National Taras Shevchenko University |
| publishDate |
2019 |
| url |
https://admjournal.luguniv.edu.ua/index.php/adm/article/view/253 |
| work_keys_str_mv |
AT castrofelipe globalizationsforpartialcoactionsoncoalgebras AT quadrosglauber globalizationsforpartialcoactionsoncoalgebras |
| first_indexed |
2025-12-02T15:31:25Z |
| last_indexed |
2025-12-02T15:31:25Z |
| _version_ |
1850412071129186304 |