An Ehresmann-Schein-Nambooripad-type theorem for left restriction semigroupoids

Semigroup Forum 2026 Open access

Read full text
Authors: Rafael Haag, Wesley G. Lautenschlaeger, Thaísa Tamusiunas
DOI: 10.1007/s00233-026-10616-8
Cited by: 1
References: 21

Abstract

Abstract We introduce the concept of locally inductive constellations and establish isomorphisms between the categories of left restriction semigroupoids and locally inductive constellations. This construction offers an alternative to the celebrated Ehresmann–Schein–Nambooripad (ESN) Theorem and, in particular, generalizes results for one-sided restriction semigroups. We also obtain ESN-type theorems for one-sided restriction categories and inverse semigroupoids.

Fields of Study & Subjects

Advanced Operator Algebra Research Advanced Topics in Algebra semigroups and automata theory

Publication details

Journal / source
Semigroup Forum
Publisher
Springer Science and Business Media LLC
Volume
112
Issue
3
Pages
820–860
Publication date
17 February 2026
Language
EN