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20182020
most citedClassifying partial (co)actions of Taft and Nichols Hopf algebras on their base fields

1 citations · 1 across the 2 of their papers we have counts for

collaborators

6 papers

math.QA2020

Partial Smash Coproduct of Multiplier Hopf Algebras

Graziela Fonseca, Eneilson Fontes, Grasiela Martini

In this work we define partial (co)actions on multiplier Hopf algebras, we also present examples and properties. From a partial comodule coalgebra we construct a partial smash copr…

math.RA20201 cited

Classifying partial (co)actions of Taft and Nichols Hopf algebras on their base fields

Graziela Fonseca, Grasiela Martini, Leonardo Silva

In this paper we determine all partial actions and partial coactions of Taft and Nichols Hopf algebras on their base fields. Furthermore, we prove that all such partial (co)actions…

math.RA2020

Partial Coactions of Weak Hopf Algebras on Coalgebras

Graziela Fonseca, Eneilson Fontes, Grasiela Martini

It will be seen that if is a weak Hopf algebra in the definition of coaction of weak bialgebras on coalgebras \cite{Wang}, then a definition property is suppressed giving rise…

math.RT2019

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…

math.RT2018

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…

math.RA2018

Multiplier Hopf Algebras: Globalization for partial actions

Eneilson Fontes, Graziela Fonseca, Grasiela Martini

In partial action theory, a pertinent question is whenever given a partial (co)action of a Hopf algebra A on an algebra R, it is possible to construct an enveloping (co)action. The…