78 citations · 181 across the 16 of their papers we have counts for
21 papers
Quantum Inverse Semigroups
Marcelo Muniz Alves, Eliezer Batista, Francielle Kuerten Boeing
In this work, the notion of a quantum inverse semigroup is introduced as a linearized generalization of inverse semigroups. Beyond the algebra of an inverse semigroup, which is the…
A comonadicity theorem for partial comodules
Eliezer Batista, William Hautekiet, Joost Vercruysse
We show that the category of partial comodules over a Hopf algebra is comonadic over and provide an explicit construction of this comonad using topological vecto…
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…
Dilations of partial representations of Hopf algebras
Marcelo Muniz S. Alves, Eliezer Batista, Joost Vercruysse
We introduce the notion of a dilation for a partial representation (i.e. a partial module) of a Hopf algebra, which in case the partial representation origins from a partial action…
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…
Cohomology for partial actions of Hopf algebras
Eliezer Batista, Alda D. M. Mortari, Mateus M. Teixeira
In this work, the cohomology theory for partial actions of co-commutative Hopf algebras over commutative algebras is formulated. This theory generalizes the cohomology theory for H…