English

Graph products of residually finite monoids are residually finite

Group Theory 2024-08-28 v2

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.

Keywords

Cite

@article{arxiv.2403.13614,
  title  = {Graph products of residually finite monoids are residually finite},
  author = {Jung Won Cho and Victoria Gould and Nik Ruškuc and Dandan Yang},
  journal= {arXiv preprint arXiv:2403.13614},
  year   = {2024}
}