Geodesic
Globalizations for partial (co)actions on~coalgebras
Algebra and discrete mathematics, Tome 27 (2019) no. 2, pp. 212-242

Voir la notice de l'article provenant de la source Math-Net.Ru

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, globalization
Mots-clés : partial coaction, partial module coalgebra, partial comodule coalgebra. 
@article{ADM_2019_27_2_a5,
     author = {Felipe Castro and Glauber Quadros},
     title = {Globalizations for partial (co)actions on~coalgebras},
     journal = {Algebra and discrete mathematics},
     pages = {212--242},
     publisher = {mathdoc},
     volume = {27},
     number = {2},
     year = {2019},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ADM_2019_27_2_a5/}
}
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Felipe Castro; Glauber Quadros. Globalizations for partial (co)actions on~coalgebras. Algebra and discrete mathematics, Tome 27 (2019) no. 2, pp. 212-242. http://geodesic.mathdoc.fr/item/ADM_2019_27_2_a5/