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<p>We introduce partial semigroupoid actions on sets and demonstrate that each such action admits a universal globalization. Our construction extends the universal globalization for partial category actions given by P. Nystedt (Lundström) 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.</p>

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Partial semigroupoid actions on sets

  • 期刊论文

  • 发表日期：

    2025年12月12日

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  • Rafael Haag Petasny,
  • Thaísa Tamusiunas

摘要

We introduce partial semigroupoid actions on sets and demonstrate that each such action admits a universal globalization. Our construction extends the universal globalization for partial category actions given by P. Nystedt (Lundström) 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.