On the variety generated by Murskiĭ's algebra
type: Item
instance of: scholarly article
title: On the variety generated by Murskiĭ's algebra
zbMATH Open document ID: 0542.08004
DOI: 10.1007/BF01198526
published in: Algebra Universalis
publication date: 1984-01-01T00:00:00Z
review text: Let \(M\) be \textit{V. L. Murskiĭ}\,'s finite algebra [Sov. Math., Dokl. 6, 1020--1024 (1965); translation from Dokl. Akad. Nauk SSSR 163, 815--818 (1965; Zbl 0154.25506)] and \(\mathrm{var}\,M\) the variety generated by \(M\). In previous papers of the author it was shown that \(\mathrm{var}\,M\) has neither DCC nor ACC. The present paper shows that \(\mathrm{var}\,M\) has uncountably many subvarieties.
Mathematics Subject Classification ID: 08B15
zbMATH DE Number: 3861230
zbMATH Keywords: subvarieties
author: Sheila Oates-Williams
reviewed by: Vyacheslav A. Artamonov
MaRDI profile type: Publication
cites work: Q4175722
cites work: Q5534915
cites work: Murskii's algebra does not satisfy min
full work available at URL: https://doi.org/10.1007/bf01198526
OpenAlex ID: W2042872083
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description: scientific article; zbMATH DE number 3861230