Equ-saturating categories

Fuente: arXiv
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Main Author: Bourn, Dominique
Format: Preprint
Published: 2025
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_version_ 1866913740825296896
author Bourn, Dominique
author_facet Bourn, Dominique
contents Starting from the varietal notion of syntactic equivalence relation, we generalized it to a categorical concept; namely Equ-saturating category. We produce various examples and focuse our attention on the protomodular context in which any equivalence relation is then shown to have a centralizer.
format Preprint
id arxiv_https___arxiv_org_abs_2503_13190
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Equ-saturating categories
Bourn, Dominique
Category Theory
08A30, 08B05, 08B10, 18D40, 18E13
Starting from the varietal notion of syntactic equivalence relation, we generalized it to a categorical concept; namely Equ-saturating category. We produce various examples and focuse our attention on the protomodular context in which any equivalence relation is then shown to have a centralizer.
title Equ-saturating categories
topic Category Theory
08A30, 08B05, 08B10, 18D40, 18E13
url https://arxiv.org/abs/2503.13190