3 papers
math.RA2026
The Szendrei Expansion of Restriction Semigroupoids
Rafael Haag, Wesley G. Lautenschlaeger, ThaÃsa 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…
math.RA2026
A Generalization of the Ehresmann-Schein-Nambooripad Theorem to Two-Sided Ehresmann Semigroupoids
Rafael Haag, ThaÃsa 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…
math.RA2025
An Ehresmann-Schein-Nambooripad-type theorem for left restriction semigroupoids
Rafael Haag, Wesley G. Lautenschlaeger, ThaÃsa Tamusiunas
We introduce the concept of locally inductive constellations and establish isomorphisms between the categories of left restriction semigroupoids and locally inductive constellation…