A new example of limit variety
type: Item
instance of: scholarly article
title: A new example of limit variety
zbMATH Open document ID: 0669.20047
DOI: 10.1007/BF02573238
author: György Pollák
published in: Semigroup Forum
publication date: 1989-01-01T00:00:00Z
full work available at URL: https://eudml.org/doc/134961
review text: Minimal non-finitely based varieties are called limit varieties. Let V be the semigroup variety defined by the identity \(xyx=xyxz\) and \(W\subset V\) the subvariety defined by the additional system \(x_ 1x_ 2x_ 3x_ 4x_ 3=x_ 1x_ 2x_ 3x^ 3_ 4\), \(x^ 2_ 1...x^ 2_ nx_ 1=x^ 2_ 1...x^ 2_ nx_ 2\), \(n=2,3,...\), of identities. It is shown that W is the only limit subvariety of V.
Mathematics Subject Classification ID: 20M07
Mathematics Subject Classification ID: 08B15
zbMATH DE Number: 4095781
zbMATH Keywords: Minimal non-finitely based varieties
zbMATH Keywords: limit varieties
zbMATH Keywords: semigroup variety
reviewed by: Peeter Normak
MaRDI profile type: Publication
cites work: Q4087447
cites work: On two classes of hereditarily finitely based semigroup identities
cites work: An example of a limit variety of semigroups
description: scientific article; zbMATH DE number 4095781