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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