Natural Sciences, Mathematics, 2026
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.
Submitted: 2025-02-10
© 2026 by author(s) and The Gufo Inc.
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.