2016; Physical and Mathematical Sciences, 50(3 (241): 52–55
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TRANSITIVE HYPERIDENTITY IN SEMIGROUPS

Tigran Hakobyan*

Received: 2025-02-11 · Published: 2016-10-26

© 2016 The Author(s) and the original publisher.

CC BY-NC 4.0 This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.
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Original title
TRANSITIVE HYPERIDENTITY IN SEMIGROUPS
Author
Tigran Hakobyan
Published
2016-10-26
Licence
Creative Commons Attribution-NonCommercial 4.0 International
Original
https://doi.org/10.46991/PYSU:A/2016.50.3.052

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.
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