Site logo

TRANSITIVE HYPERIDENTITY IN SEMIGROUPS

This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

CC BY-NC 4.0 This work is licensed under Creative Commons Attribution–NonCommercial International License (CC BY-NC 4.0).

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 xy2z=xz ) is also hypertransitive.

Subscribe to TheGufo Newsletter​