Identities of the natural representation of the infinitely based semigroup
Leonid Al’shanskii, Alexander Kushkuley · Proceedings of the American Mathematical Society · 1993
An equational theory of a very small semigroup may fail to be finitely presented. A well-known example of such a semigroup was studied in detail by Peter Perkins some twenty years ago. We prove that the natural representation of his semigroup has a finite basis of identical relations and discuss this fact in a general context of universal algebra.