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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| Дата: | 2019 |
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| Автори: | , |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут прикладної математики і механіки НАН України
2019
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| Назва видання: | Algebra and Discrete Mathematics |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/188434 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | Globalizations for partial (co)actions on coalgebras / F. Castro, G. Quadros // Algebra and Discrete Mathematics. — 2019. — Vol. 27, № 2. — С. 212–242. — Бібліогр.: 16 назв. — англ. |
Репозитарії
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irk-123456789-1884342023-03-02T01:27:36Z Globalizations for partial (co)actions on coalgebras Castro, F. Quadros, G. 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. 2019 Article Globalizations for partial (co)actions on coalgebras / F. Castro, G. Quadros // Algebra and Discrete Mathematics. — 2019. — Vol. 27, № 2. — С. 212–242. — Бібліогр.: 16 назв. — англ. 1726-3255 2010 MSC: 16T15; 16T99, 16W22 http://dspace.nbuv.gov.ua/handle/123456789/188434 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 |
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. |
| format |
Article |
| author |
Castro, F. Quadros, G. |
| spellingShingle |
Castro, F. Quadros, G. Globalizations for partial (co)actions on coalgebras Algebra and Discrete Mathematics |
| author_facet |
Castro, F. Quadros, G. |
| author_sort |
Castro, F. |
| 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 |
| publisher |
Інститут прикладної математики і механіки НАН України |
| publishDate |
2019 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/188434 |
| citation_txt |
Globalizations for partial (co)actions on coalgebras / F. Castro, G. Quadros // Algebra and Discrete Mathematics. — 2019. — Vol. 27, № 2. — С. 212–242. — Бібліогр.: 16 назв. — англ. |
| series |
Algebra and Discrete Mathematics |
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AT castrof globalizationsforpartialcoactionsoncoalgebras AT quadrosg globalizationsforpartialcoactionsoncoalgebras |
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2023-10-18T23:08:21Z |
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2023-10-18T23:08:21Z |
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