A P-theorem for inverse semigroupoids through ordered globalizations

Semigroup Forum 2026 Open access

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Authors: Felipe Augusto Tasca, Paulinho Demeneghi, Víctor Marín, Willian Goulart Gomes Velasco
DOI: 10.1007/s00233-026-10639-1
Cited by: 0
References: 16

Abstract

Abstract We prove that every ordered partial action of an inverse semigroupoid on a partially ordered set admits a universal globalization. This result is used to establish a connection between ordered partial actions of groupoids and a multi-object analogue of McAlister triples. As a consequence, we obtain a multi-object version of the P -theorem: every E -unitary inverse semigroupoid is isomorphic to a semidirect product arising from an ordered partial action of a groupoid on a multi-object version of a semilattice.

Fields of Study & Subjects

Advanced Topology and Set Theory Advanced Algebra and Logic Fuzzy and Soft Set Theory

Publication details

Journal / source
Semigroup Forum
Publisher
Springer Science and Business Media LLC
Volume
113
Issue
1
Pages
288–310
Publication date
22 June 2026
Language
EN