Geodesic
Transitive hyperidentity in semigroups
Proceedings of the Yerevan State University. Physical and mathematical sciences, no. 3 (2016), pp. 52-55

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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 $xy^2z = xz$) is also hypertransitive.
Keywords: transitive semigroup, transitivehyperidentity, polynomial satisfiability. 
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T. A. Hakobyan. Transitive hyperidentity in semigroups. Proceedings of the Yerevan State University. Physical and mathematical sciences, no. 3 (2016), pp. 52-55. http://geodesic.mathdoc.fr/item/UZERU_2016_3_a9/