1 citations · 1 across the 7 of their papers we have counts for
10 papers
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…
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…
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…
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…