4 citations · 7 across the 10 of their papers we have counts for
7 papers · 1 filter
On the isotropy of differential Ore extensions
Rene Baltazar, Leonardo Duarte Silva, Grasiela Martini
Let Ah = k[x][t; d] be the differential Ore extension. We study the action of the automorphism group of Ah on the derivations of Ah and explicitly describe, using Nowicki's decompo…
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…
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 a Hopf algebra on its base field and the corresponding partial smash product algebra
Grasiela Martini, Antonio Paques, Leonardo Duarte Silva
We introduce the concept of a -Hopf algebra as a Hopf algebra obtained as the partial smash product algebra of a Hopf algebra and its base field, and show that every Hopf algebr…
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…