Year: 2025
Type: article
Abstract: Clans are categorical representations of generalized algebraic theories that contain more information than the finite-limit categories associated to the locally finitely presentable categories of models via Gabriel–Ulmer duality. Extending Gabriel–Ulmer duality to account for this additional information, we present a duality theory between clans and locally finitely presentable categories equipped with a weak factorization system of a certain kind.
Source: Journal of Symbolic Logic
DOI: 10.1017/jsl.2024.79
Author: JONAS FREY
Institutions: Université Sorbonne Nouvelle, Université Sorbonne Paris Nord
Language: English
Topic: Advanced Algebra and Logic
Subfield: Computational Theory and Mathematics
Field: Computer Science
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W4410417583