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 \(M_\tau (W)\) for certain congruences \(\tau \) on the free monoid. The construction \(M_\tau (W)\) 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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