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math.GR2025
Modular elements in the lattice of monoid varieties
Sergey V. Gusev
An element of a lattice is modular if has no five-element sublattice isomorphic to the pentagon in which would correspond to the lonely midpoint. In the present wor…
math.GR2025
Limit varieties of aperiodic monoids
Sergey V. Gusev, Olga B. Sapir
A limit variety is a variety that is minimal with respect to being non-finitely based. We present a new limit variety of aperiodic monoid. We also show that if there exists any oth…
math.GR2025
Finiteness conditions for lattices of monoid varieties
Sergey V. Gusev
We classify all varieties of aperiodic monoids with central idempotents whose subvariety lattice is finite or satisfies the descending chain condition or satisfies the ascending ch…