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Algebra and Discrete Mathematics, 2019, Volume 27, Issue 2, Pages 212–242
(Mi adm704)
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This article is cited in 4 scientific papers (total in 4 papers)
RESEARCH ARTICLE
Globalizations for partial (co)actions on coalgebras
Felipe Castroa, Glauber Quadrosb a Departamento de Matemática, Universidade Federal de Santa Catarina, 88040-900 Brazil
b Coordenadoria Acadêmica, Universidade Federal de Santa Maria, 96506-322 Brazil
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.
Keywords:
Hopf algebras, partial action, partial coaction, globalization, partial module coalgebra, partial comodule coalgebra.
Received: 15.07.2016 Revised: 08.05.2019
Citation:
Felipe Castro, Glauber Quadros, “Globalizations for partial (co)actions on coalgebras”, Algebra Discrete Math., 27:2 (2019), 212–242
Linking options:
https://www.mathnet.ru/eng/adm704 https://www.mathnet.ru/eng/adm/v27/i2/p212
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Abstract page: | 81 | Full-text PDF : | 48 | References: | 9 |
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