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arXiv · 2412.14068

Partial Semigroupoid Actions on Sets

Rafael Haag Petasny·Thaísa Tamusiunas
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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.

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Rafael Haag Petasny, Thaísa Tamusiunas. 2024-12-18. Partial Semigroupoid Actions on Sets. https://doi.org/10.1007/s00233-025-10605-3

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