70 citations · 149 across the 14 of their papers we have counts for
17 papers
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.
The commutative inverse semigroup of partial abelian extensions
Dirceu Bagio, Andrés Cañas, Víctor Marín +2
This paper is a new contribution to the partial Galois theory of groups. First, given a unital partial action of a finite group on an algebra such that is an $α_G…
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…
On the Galois map for groupoid actions
Antonio Paques, Thaísa Tamusiunas
Some conditions for the Galois map to be injective are given in the groupoid acting on a noncommutative ring context. In the particular case in which the Galois extension is a cent…
Hopf algebras arising from partial (co)actions
Danielle Azevedo, Grasiela Martini, Antonio Paques +1
In this paper, extending the idea presented by M. Takeuchi in [13], we introduce the notion of partial matched pair involving the concepts of partial action and partial coa…
Restriction and Extension of Partial Actions
Dirceu Bagio, Antonio Paques, Héctor Pinedo
Given a partial action of a connected groupoid on a ring and an object of , the isotropy group …