Please use this identifier to cite or link to this item:
http://hdl.handle.net/123456789/4385
Title: | Globalizations for partial (co)actions on coalgebras |
Authors: | Castro, F . Quadros, G . |
Keywords: | Hopf algebras partial action partial coaction globalization partial module coalgebra partial comodule coalgebra |
Issue Date: | 2019 |
Publisher: | ДЗ "ЛНУ імені Тараса Шевченка" |
Series/Report no.: | Математичні науки; |
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. |
Description: | Castro F . Globalizations for partial (co)actions on coalgebras / F .Castro , G .Quadros // Algebra and Discrete Mathematics. - 2019. - Vol. 27. - Number 2. - Рp.212 - 242 |
URI: | http://hdl.handle.net/123456789/4385 |
Appears in Collections: | Algebra and Discrete Mathematics. - № 2 (27). - 2019 |
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253-4193-1-PB (1).pdf | 441.04 kB | Adobe PDF | View/Open |
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