Globalizations for partial (co)actions on coalgebras

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Algebra and Discrete Mathematics
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Algebra and Discrete Mathematics, 2019, Vol. 27, Vol. 28
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Algebra and Discrete Mathematics, 2019, Vol. 27, № 2
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dc.contributor.author	Castro, F.
dc.contributor.author	Quadros, G.
dc.date.accessioned	2023-03-01T15:38:10Z
dc.date.available	2023-03-01T15:38:10Z
dc.date.issued	2019
dc.identifier.citation	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.	uk_UA
dc.identifier.issn	1726-3255
dc.identifier.other	2010 MSC: 16T15; 16T99, 16W22
dc.identifier.uri	http://dspace.nbuv.gov.ua/handle/123456789/188434
dc.description.abstract	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.	uk_UA
dc.description.sponsorship	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.	uk_UA
dc.language.iso	en	uk_UA
dc.publisher	Інститут прикладної математики і механіки НАН України	uk_UA
dc.relation.ispartof	Algebra and Discrete Mathematics
dc.title	Globalizations for partial (co)actions on coalgebras	uk_UA
dc.type	Article	uk_UA
dc.status	published earlier	uk_UA