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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| Veröffentlicht in: | Algebra and Discrete Mathematics |
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| Datum: | 2019 |
| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | Englisch |
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Інститут прикладної математики і механіки НАН України
2019
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/188434 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | 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. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862540881956962304 |
|---|---|
| author | Castro, F. Quadros, G. |
| author_facet | Castro, F. Quadros, G. |
| 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. |
| collection | DSpace DC |
| container_title | Algebra and Discrete Mathematics |
| 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.
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| first_indexed | 2025-11-24T16:10:15Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-188434 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1726-3255 |
| language | English |
| last_indexed | 2025-11-24T16:10:15Z |
| publishDate | 2019 |
| publisher | Інститут прикладної математики і механіки НАН України |
| record_format | dspace |
| spelling | Castro, F. Quadros, G. 2023-03-01T15:38:10Z 2023-03-01T15:38:10Z 2019 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 https://nasplib.isofts.kiev.ua/handle/123456789/188434 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. The authors were partially supported by CNPq, Brazil. The authors would like to thank Antonio Paques, Alveri Sant’Ana and the referee, whose comments, corrections and suggestions were very useful to improve the manuscript. We would like to thank Lourdes Haase for her corrections and suggestions about the paper writing. en Інститут прикладної математики і механіки НАН України Algebra and Discrete Mathematics Globalizations for partial (co)actions on coalgebras Article published earlier |
| spellingShingle | Globalizations for partial (co)actions on coalgebras Castro, F. Quadros, G. |
| title | 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_short | Globalizations for partial (co)actions on coalgebras |
| title_sort | globalizations for partial (co)actions on coalgebras |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/188434 |
| work_keys_str_mv | AT castrof globalizationsforpartialcoactionsoncoalgebras AT quadrosg globalizationsforpartialcoactionsoncoalgebras |