TRANSITIVE HYPERIDENTITY IN SEMIGROUPS

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Submitted: 2025-02-10; Published: 2025-02-10

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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.