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Proceedings of the Yerevan State University, series Physical and Mathematical Sciences, 2016, Issue 3, Pages 52–55 (Mi uzeru275)  
This article is cited in 1 scientific paper (total in 1 paper)

Mathematics

Transitive hyperidentity in semigroups

T. A. Hakobyanab

a Chair of Algebra and Geometry YSU, Armenia
b Department of Mathematics University of Illinois, Urbana-Champaign, USA
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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 $xy^2z = xz$) is also hypertransitive.
Keywords: transitive semigroup, transitivehyperidentity, polynomial satisfiability.
Received: 04.07.2016
Accepted: 09.09.2016
Document Type: Article
MSC: Primary 20M07; Secondary 08A05, 03C05
Language: English
Citation: T. A. Hakobyan, “Transitive hyperidentity in semigroups”, Proceedings of the YSU, Physical and Mathematical Sciences, 2016, no. 3, 52–55
Citation in format AMSBIB
\Bibitem{Hak16}
\by T.~A.~Hakobyan
\paper Transitive hyperidentity in semigroups
\jour Proceedings of the YSU, Physical and Mathematical Sciences
\yr 2016
\issue 3
\pages 52--55
\mathnet{http://mi.mathnet.ru/uzeru275}
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