TRANSITIVE HYPERIDENTITY IN SEMIGROUPS

T.A. Hakobyan

doi:10.46991/PYSU:A/2016.50.3.052

TRANSITIVE HYPERIDENTITY IN SEMIGROUPS

Authors

T.A. Hakobyan Chair of Algebra and Geometry YSU, Armenia Department of Mathematics University of Illinois, Urbana-Champaign, USA

DOI:

https://doi.org/10.46991/PYSU:A/2016.50.3.052

Keywords:

transitive semigroup, transitive hyperidentity, polynomial satisfiability

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 $xy^2z = xz$ ) is also hypertransitive.

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Published

2016-10-26

How to Cite

Hakobyan, T. (2016). TRANSITIVE HYPERIDENTITY IN SEMIGROUPS. Proceedings of the YSU A: Physical and Mathematical Sciences, 50(3 (241), 52–55. https://doi.org/10.46991/PYSU:A/2016.50.3.052