Equ-saturating categories

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.

Publication Details

Journal
ArXiv.org
Published
2025-03-17
Primary Topic
Syntax, Semantics, Linguistic Variation
Type
article
Field-Weighted Citation Impact
0.00
Controls
|||
ALL TIME
JAN
FEB
MAR
APR
MAY
JUN
JUL
AUG
SEP
OCT
article

Equ-saturating categories

ArXiv.org
Syntax, Semantics, Linguistic Variation
article

Equ-saturating categories

article en

Abstract

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.

ArXiv.org
Reduced inequalities
Openalex Percentile: Top 39%
Syntax, Semantics, Linguistic Variation
Open Access PDFOpenAlex
AI Navigator

Ask Laika to Summarize, Analyze, and Connect papers live on the map.

Summarize Papers & Methodologies

Extract key findings, datasets, and comparative methods across publications.

Benchmark Rankings & Visual Analytics

Rank top research institutions, authors, funders, topics, and journals by Field-Weighted Citation Impact (FWCI) and paper volume with instant charts.

Connect Distant Disciplines

Bridge topological clusters on the map to find hidden collaborative intersections.

Equ-saturating categories · ArXiv.org (2025) | TGRS Research Map | TGRS