19 citations · 27 across the 6 of their papers we have counts for
7 papers
Weak Partial Representations
Felipe Castro, Glauber Quadros, Thaísa Tamusiunas
We introduce the notion of partial representation of a weak Hopf algebra. We present the universal algebra , which factorizes these partial representations by algebra mo…
Partial Hopf-Galois theory
Felipe Castro, Daiane Freitas, Antonio Paques +2
We develop a partial Hopf-Galois theory for partial H-module algebras and we recover analogs of classical results for Hopf algebras.
Properties of the Digital Root and its Extension to Rational Numbers -- an Algebraic Approach
Lucas T. Cardoso, Glauber Quadros
This paper contains an algebraic constructive and self-contained account of the invariance rule of the digital root under division for an arbitrary natural basis representation. Bo…
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…
Globalizations for partial (co)actions on coalgebras
Felipe Castro, Glauber Quadros
In this paper, we introduce the notion of globalization for partial module coalgebra and for partial comodule coalgebra. We show that every partial module coalgebra is globalizable…
Partial bi(co)module algebras, globalizations, and partial (L,R)-smash products
Felipe Castro, Antonio Paques, Glauber Quadros +1
In this paper we introduce the notions of partial bimodule algebra and partial bico- module algebra. We also deal with the existence of globalizations for these structures, general…
Partial actions of weak Hopf algebras: smash products, globalization and Morita theory
Felipe Castro, Antonio Paques, Glauber Quadros +1
In this paper we introduce the notion of partial action of a weak Hopf algebra on algebras, unifying the notions of partial group action [11], partial Hopf action ([2],[3],[9]) and…