TRANSITIVE HYPERIDENTITY IN SEMIGROUPS Tigran Hakobyan
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 xy2z=xz ) is also hypertransitive.
DOI: 10.46991/PYSU:A/2016.50.3.052 Physical and Mathematical Sciences, 50(3 (241) 52-55