activity
20202026
most citedInjectivity of the Galois map

4 citations · 4 across the 10 of their papers we have counts for

collaborators

19 papers

math.RA2026

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…

math.RA2026

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…

math.RA2025

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…

math.RA2025

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…

math.QA2024

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…

math.RA2024

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…