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math.GR2020★ 12 cited
The lattice of varieties of monoids
Sergey V. Gusev, Edmond W. H. Lee, Boris M. Vernikov
We survey results devoted to the lattice of varieties of monoids. Along with known results, some unpublished results are given with proofs. A number of open questions and problems…
math.GR2020★ 7 cited
Two weaker variants of congruence permutability for monoid varieties
Sergey V. Gusev, Boris M. Vernikov
We completely determine all varieties of monoids on whose free objects all fully invariant congruences or all fully invariant congruences contained in the least semilattice congrue…