Transitive hyperidentity in semigroups (Տրանզիտիվ գերնույնությունները կիսախմբերում)

Abstract

In this paper we characterize all semigroups in which the hyperidentity of transitivity X(X(x, y),X(y,z)) = X(x,z) is polynomially satisfied. In particular, we show that every transitive semigroup (that is a semigroup with the identity xy2 z = xz) is also hypertransitive.