8 citations · 15 across the 15 of their papers we have counts for
20 papers
Reflectors and the Globalization Problem for Partial Actions of Semiconstellations
Rafael Haag, Thaísa Tamusiunas
We introduce semiconstellations and restriction semiconstellations, together with their actions on sets, providing a common setting for partial actions of categories, inverse semig…
A Generalization of the Ehresmann-Schein-Nambooripad Theorem to Two-Sided Ehresmann Semigroupoids
Rafael Haag, Thaísa Tamusiunas
We introduce the notion of two-sided Ehresmann semigroupoids and show that they are in correspondence with a specific class of categories, which we call local biordered Ehresmann c…
An Ehresmann-Schein-Nambooripad-type theorem for left restriction semigroupoids
Rafael Haag, Wesley G. Lautenschlaeger, Thaísa Tamusiunas
We introduce the concept of locally inductive constellations and establish isomorphisms between the categories of left restriction semigroupoids and locally inductive constellation…
The Szendrei Expansion of Restriction Semigroupoids
Rafael Haag, Wesley G. Lautenschlaeger, Thaísa Tamusiunas
We introduce the concept of a restriction semigroupoid S, which unifies the notion of restriction semigroups and restriction categories within a single structure. We prove a repres…
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 Semigroupoid Actions on Sets
Rafael Haag Petasny, Thaísa Tamusiunas
We introduce partial semigroupoid actions on sets and demonstrate that each such action admits universal globalization. Our construction extends the universal globalization for par…
Galois Theory under inverse semigroup actions
Wesley G. Lautenschlaeger, Thaísa Tamusiunas
We develop a Galois theory of commutative rings under actions of finite inverse semigroups. We present equivalences for the definition of Galois extension as well as a Galois corre…
Galois Correspondence for Partial Groupoid Actions
Wesley G. Lautenschlaeger, Thaísa Tamusiunas
We prove a Galois correspondence theorem for groupoids acting orthogonally and partially on commutative rings. We also consider partial actions that are not orthogonal, presenting…
Globalization of Partial Actions of Ordered Groupoids on Rings
Wesley G. Lautenschlaeger, Thaísa Tamusiunas
We provide a necessary and sufficient condition to the existence of an ordered globalization of a partial ordered action of an ordered groupoid on a ring and we also present criter…
Partial groupoid representations and a relation with the Birget-Rhodes expansion
Wesley G. Lautenschlaeger, Thaísa Tamusiunas
We introduce partial representation of a finite groupoid on an algebra and show that the partial groupoid representations of are in one-to-one correspondence with the r…
Injectivity of the Galois map
Juliana Pedrotti, Thaísa Tamusiunas
Given a Galois extension , where is an action of a finite groupoid on a noncommutative ring, we present some conditions to the Galois map be injective.
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.
Groupoid Actions on Sets, Duality and a Morita Context
Saradia Della Flora, Daiana Flôres, Andrea Morgado +1
Let G and K be groupoids. We present the notion of a (G_α,K_β)-set and we prove a duality theorem in this context, which extends the duality theorem for graded algebras by groups.…
Galois correspondence for group-type partial actions of groupoids
Dirceu Bagio, Alveri Sant'Ana, Thaísa Tamusiunas
Let be a finite groupoid and a unital partial action of group-type of on a commutative ring $S=\oplus_{y…
Groupoid Twisted Partial Actions
Laerte Bemm, Wesley G. Lautenschlaeger, Thaísa Tamusiunas
We introduce twisted partial actions of groupoids and establish necessary and sufficient conditions for the existence of a globalization. We prove that the crossed products associa…
Generalizations of Lagrange and Sylow Theorems for Groupoids
Gustav Beier, Christian Garcia, Wesley G. Lautenschlaeger +2
We show a classification method for finite groupoids and discuss the cardinality of cosets and its relation with the index. We prove a generalization of the Lagrange's Theorem and…
Galois Theory for Inverse Semigroup Orthogonal Actions
Wesley G. Lautenschlaeger, Thaísa Tamusiunas
A Galois correspondence theorem is proved for the case of inverse semigroups acting orthogonally on commutative rings as a consequence of the Galois correspondence theorem for grou…
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…
Inverse Semigroupoid Actions and Representations
Wesley G. Lautenschlaeger, Thaísa Tamusiunas
We show that there is a one-to-one correspondence between the partial actions of a groupoid on a set and the inverse semigroupoid actions of the Exel's inverse semigroupoid…
A Galois-Grothendieck-type correspondence for groupoid actions
Antonio Paques, Thaísa Tamusiunas
In this paper we present a Galois-Grothendieck-type correspondence for groupoid actions. As an application a Galois-type correspondence is also given.