27 citations · 79 across the 14 of their papers we have counts for
17 papers
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…
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…
Homology and cohomology via the partial group algebra
Marcelo Muniz Alves, Mikhailo Dokuchaev, Dessislava H. Kochloukova
We study partial homology and cohomology from ring theoretic point of view via the partial group algebra . In particular, we link the partial homology and cohomo…
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…
Polynomial Invariant Theory and Shape Enumerator of Self-Dual Codes in the NRT-Metric
Welington Santos, Marcelo Muniz Silva Alves
In this paper we consider self-dual NRT-codes, that is, self-dual codes in the metric space endowed with the Niederreiter-Rosenbloom-Tsfasman (NRT-metric). We use polynomial invari…
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…