On the finite basis problem for completely \(0\)-simple semigroup identities
type: Item
instance of: scholarly article
title: On the finite basis problem for completely \(0\)-simple semigroup identities
zbMATH Open document ID: 0932.20054
published in: Semigroup Forum
publication date: 2000-01-10T00:00:00Z
review text: The author constructs an infinite ascending chain \({\mathcal V}_1\subset{\mathcal V}_2\subset\cdots\subset{\mathcal V}_n\subset\cdots\) of semigroup varieties such that: 1) each \({\mathcal V}_n\) is generated by a finite \(0\)-simple semigroup; 2) each \({\mathcal V}_{2k-1}\) has no finite identity basis; 3) each \({\mathcal V}_{2k}\) has a finite identity basis. Reviewer's remark: Several proofs in the paper appear to be insufficient, including the proofs of the crucial Lemmas 4.1 and 4.5.
Mathematics Subject Classification ID: 20M07
Mathematics Subject Classification ID: 20M17
zbMATH DE Number: 1330710
zbMATH Keywords: completely \(0\)-simple semigroups
zbMATH Keywords: varieties of semigroups
zbMATH Keywords: finite bases of identities
author: Grigory Mashevitzky
MaRDI profile type: Publication
full work available at URL: s002339900044
OpenAlex ID: W2064022548
DOI: 10.1007/S002339900044
description: scientific article; zbMATH DE number 1330710