4 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…