A Sufficient Condition for the Non-Finite Basis Property of Semigroups
Monatshefte für Mathematik
Semigroup, Identity, Finite basis property, Finitely based
Recently, Zhang and Luo proved that a certain semigroup L of order six is non-finitely based. The main aim of the present article is to generalize this result to a sufficient condition for the non-finite basis property of semigroups. It follows that the semigroup L is inherently non-finitely based relative to a certain class of semigroups. It is also shown that the variety var L generated by L contains a unique maximal subvariety that is non-finitely based. Consequently, the variety var L is not a limit variety.
Lee, Edmond W. H., "A Sufficient Condition for the Non-Finite Basis Property of Semigroups" (2012). Mathematics Faculty Articles. 5.