Uncountably many varieties of semigroups satisfying \(x^2y\bumpeq xy\)
type: Item
instance of: scholarly article
title: Uncountably many varieties of semigroups satisfying \(x^2y\bumpeq xy\)
zbMATH Open document ID: 0941.20067
published in: Semigroup Forum
publication date: 2000-05-15T00:00:00Z
review text: The author constructs an infinite series of semigroup identities containing the identity \(x^2y=xy\) and such that none of these identities is a consequence of the other ones. This yields \(2^{\aleph_0}\) varieties of semigroups satisfying \(x^2y=xy\) thus solving a problem by \textit{G. Pollák} and the reviewer [Semigroups, Colloq. Math. Soc. János Bolyai 39, 287-323 (1985; Zbl 0633.20038)].
Mathematics Subject Classification ID: 20M07
Mathematics Subject Classification ID: 20M05
Mathematics Subject Classification ID: 08B15
zbMATH DE Number: 1394460
zbMATH Keywords: semigroup varieties
zbMATH Keywords: semigroup identities
zbMATH Keywords: independent sets of identities
author: Jiří Kad'ourek
MaRDI profile type: Publication
full work available at URL: s002330010007
OpenAlex ID: W1509678272
DOI: 10.1007/S002330010007
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description: scientific article; zbMATH DE number 1394460