Rivisiting the Hales--Jewett Theorem

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1. Verfasser: Ghosh, Arpita
Format: Preprint
Veröffentlicht: 2026
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author Ghosh, Arpita
author_facet Ghosh, Arpita
contents This short note establishes an abstract Hales--Jewett theorem for semigroups equipped with a finite family of retractions. The proof relies on the interplay between retractions and tensor products of ultrafilters.
format Preprint
id arxiv_https___arxiv_org_abs_2604_23766
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Rivisiting the Hales--Jewett Theorem
Ghosh, Arpita
Combinatorics
Group Theory
05D10, 22A15
This short note establishes an abstract Hales--Jewett theorem for semigroups equipped with a finite family of retractions. The proof relies on the interplay between retractions and tensor products of ultrafilters.
title Rivisiting the Hales--Jewett Theorem
topic Combinatorics
Group Theory
05D10, 22A15
url https://arxiv.org/abs/2604.23766