Limit varieties of J-trivial monoids

2020/03/22 by Sapir, Olga B.
#FOS: Mathematics #Group Theory (math.GR)

paper · doi:10.48550/arxiv.2003.09950

Abstract

We show that limit varieties of monoids recently discovered by Gusev, Zhang and Luo and their subvarieties are generated by monoids of the form M_τ(W) for certain congruences τ on the free monoid. The construction M_τ(W) is a generalization of widely used Dilworth-Perkins construction. Using this construction, we find explicit generators for Gusev limit varieties and give a short reproof to the fact that Zhang-Luo limit variety is non-finitely based.

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