Finite Basis Problem for the Direct Product of Some J-Trivial Monoid with Groups of Finite Exponent
Vestnik Sankt-Peterburgskogo Universiteta. Seriya 1. Matematika, Mekhanika, Astronomiya
It is proved that the direct product of the J-trivial monoid S(xyx) with any noncommutative group of finite exponent is non-finitely based. This result provides new, simpler examples of two finitely based finite monoids for which their direct product is non-finitely based. It follows that the direct product of the monoid S(xyx) with any group of finite exponent is finitely based if and only if the group is commutative.
Lee, Edmond W. H., "Finite Basis Problem for the Direct Product of Some J-Trivial Monoid with Groups of Finite Exponent" (2013). Mathematics Faculty Articles. 12.