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On the variety generated by Murskiĭ's algebra - MaRDI portal

On the variety generated by Murskiĭ's algebra (Q795075)

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scientific article; zbMATH DE number 3861230
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English
On the variety generated by Murskiĭ's algebra
scientific article; zbMATH DE number 3861230

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    On the variety generated by Murskiĭ's algebra (English)
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    1984
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    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.
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    subvarieties
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