4 citations · 7 across the 7 of their papers we have counts for
8 papers
Weak Hopf algebras arising from weak matched pairs
Graziela Fonseca, Grasiela Martini, Leonardo Silva
This work extends the idea of matched pairs presented by Majid in \cite{Majid} and Takeuchi in \cite{Takeuchi} for the context of weak bialgebras and weak Hopf algebras. We introdu…
Partial (co)actions of Taft and Nichols Hopf algebras on algebras
Graziela Fonseca, Grasiela Martini, Leonardo Silva
In this paper, we characterize suitable partial (co)actions of Taft and Nichols Hopf algebras on algebras, and moreover we get that such partial (co)actions are symmetric. For cert…
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…
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…
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…
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…
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…
Partial (Co)Actions of Multiplier Hopf Algebras: Morita and Galois Theories
D. Azevedo, E. Batista, G Fonseca +2
In this work we deal with partial (co)action of multiplier Hopf algebras on not necessarily unital algebras. Our main goal is to construct a Morita context relating the coinvariant…