27 citations · 79 across the 14 of their papers we have counts for
8 papers · 1 filter
Morita equivalence and globalization for partial Hopf actions on nonunital algebras
Marcelo Muniz Alves, Tiago Luiz Ferrazza
In this work we investigate partial actions of a Hopf algebra H on nonunital algebras and the associated partial smash products. We show that our partial actions correspond to nonu…
Partial corepresentations of Hopf Algebras
Marcelo Muniz S . Alves, Eliezer Batista, Felipe Castro +2
We introduce the notion of a partial corepresentation of a given Hopf algebra over a coalgebra and the closely related concept of a partial -comodule. We prove that ther…
Cohomology of partial smash products
Edson Ribeiro Alvares, Marcelo Muniz Alves, Maria Julia Redondo
We define the partial group cohomology as the right derived functor of the functor of partial invariants, we relate this cohomology with partial derivations and with the partial au…
Partial Representations of Hopf Algebras
Marcelo Muniz S. Alves, Eliezer Batista, Joost Vercruysse
In this work, the notion of partial representation of a Hopf algebra is introduced and its relationship with partial actions of Hopf algebras is explored. Given a Hopf algebra ,…
Partial Hopf module categories
Edson R. Alvares, Marcelo M. S. Alves, Eliezer Batista
The effectiveness of the aplication of constructions in -graded -categories to the computation of the fundamental group of a finite dimensional -algebra, alongside with op…
Twisted partial actions of Hopf algebras
Marcelo Muniz S. Alves, Eliezer Batista, Michael Dokuchaev +1
In this work, the notion of a twisted partial Hopf action is introduced as a unified approach for twisted partial group actions, partial Hopf actions and twisted actions of Hopf al…
Partial Hopf actions, partial invariants and a Morita context
Marcelo Muniz S. Alves, Eliezer Batista
Partial actions of Hopf algebras can be considered as a generalization of partial actions of groups on algebras. Among important properties of partial Hopf actions, it is possible…
Enveloping Actions for Partial Hopf Actions
Marcelo Muniz S. Alves, Eliezer Batista
Motivated by partial group actions on unital algebras, in this article we extend many results obtained by Exel and Dokuchaev to the context of partial actions of Hopf algebras, acc…