Partial Semigroupoid Actions on Sets
Rings and Algebras
2025-12-11 v2
Abstract
We introduce partial semigroupoid actions on sets and demonstrate that each such action admits universal globalization. Our construction extends the universal globalization for partial category actions given by P. Nystedt (Lundstr\"om) and the tensor product globalization for strong partial semigroup actions given by G. Kudryavtseva and V. Laan, thereby unifying the theory of partial actions for both categories and semigroups.
Keywords
Cite
@article{arxiv.2412.14068,
title = {Partial Semigroupoid Actions on Sets},
author = {Rafael Haag Petasny and Thaísa Tamusiunas},
journal= {arXiv preprint arXiv:2412.14068},
year = {2025}
}