Graph products of residually finite monoids are residually finite

2024/03/20 by Jung Won Cho, Victoria Gould, Cho, Jung Won +5 · 1 citation
Computer Science · Mathematics · #20M05 #20M10 #Advanced Algebra and Logic #FOS: Mathematics #Group Theory (math.GR) #Rings, Modules, and Algebras #semigroups and automata theory

paper · pdf · doi:10.48550/arxiv.2403.13614

openalex publication_date 2024/03/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We show that any graph product of residually finite monoids is residually finite. As a special case we obtain that any free product of residually finite monoids is residually finite. The corresponding results for graph products of semigroups follow.

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• Finitary conditions for graph products of monoids

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