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One-dimensional partial actions of 8-dimensional Hopf algebras and right coideal subalgebras
Matheus Castelo, Leonardo Duarte Silva, William Hautekiet +1
In this work, we complete the description of the one-dimensional partial actions of 8-dimensional Hopf algebras by computing the remaining cases: the Kac-Paljutkin algebra $\mathca…
On partial actions of Hopf-Ore extensions
João M. J. Giraldi, Grasiela Martini, Leonardo D. Silva
In this work we study how to extend a partial action of a Hopf Algebra on an algebra to a partial action of a Hopf-Ore extension of on . As consequence, we character…
Hopf algebras arising from partial (co)actions
Danielle Azevedo, Grasiela Martini, Antonio Paques +1
In this paper, extending the idea presented by M. Takeuchi in [13], we introduce the notion of partial matched pair involving the concepts of partial action and partial coa…
Partial Actions of Weak Hopf Algebras on Coalgebras
Eneilson Campos, Grasiela Martini, Graziela Fonseca
In this work the notions of partial action of a weak Hopf algebra on a coalgebra and partial action of a groupoid on a coalgebra will be introduced, just as some important properti…