This article is cited in 1 paper

Mathematics

Transitive hyperidentity in semigroups

T. A. Hakobyan<sup>ab

a</sup> Chair of Algebra and Geometry YSU, Armenia
^b Department of Mathematics University of Illinois, Urbana-Champaign, USA

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.

MSC: Primary 20M07; Secondary 08A05, 03C05

Received: 04.07.2016
Accepted: 09.09.2016

Language: English