Locally Finite Monoids in Finitely Based Varieties
Logic Journal of the IGPL
Monoid, Semigroup, Locally finite, Variety
It is shown that given any finite system of monoid identities, it is decidable if the class of locally finite monoids that satisfy the system is a variety. This answers an open problem of Mark V. Sapir.
Lee, Edmond W. H., "Locally Finite Monoids in Finitely Based Varieties" (2019). Mathematics Faculty Articles. 258.