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Algebra i logika, 2023, Volume 62, Number 6, Pages 762–785
DOI: https://doi.org/10.33048/alglog.2023.62.604 (Mi al2787) 		 
Existence of independent quasi-equational bases. II

M. V. Schwidefsky

Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk
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DOI: https://doi.org/10.33048/alglog.2023.62.604
Abstract: If a certain condition holds for a quasivariety $\mathbf{K}$ then $\mathbf{K}$ contains continuum many subquasivarieties having a finitely partitionable $\omega$-independent quasi-equational basis relative to $\mathbf{K}$. This is true, in particular, for each almost $ff$-universal quasivariety $\mathbf{K}$.
Keywords: quasivariety, independent quasi-equational basis, $ff$-universal quasivariety.
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation FWNF-2022-0012
Received: 22.01.2023
Revised: 02.12.2024
English version:
Algebra and Logic, 2024, Volume 62, Issue 6, Pages 516–531
DOI: https://doi.org/10.1007/s10469-024-09762-1
Document Type: Article
UDC: 512.56
Language: Russian
Citation: M. V. Schwidefsky, “Existence of independent quasi-equational bases. II”, Algebra Logika, 62:6 (2023), 762–785; Algebra and Logic, 62:6 (2024), 516–531
Citation in format AMSBIB
\Bibitem{Sch23}
\by M.~V.~Schwidefsky
\paper Existence of independent quasi-equational bases. II
\jour Algebra Logika
\yr 2023
\vol 62
\issue 6
\pages 762--785
\mathnet{http://mi.mathnet.ru/al2787}
\transl
\jour Algebra and Logic
\yr 2024
\vol 62
\issue 6
\pages 516--531
\crossref{https://doi.org/10.1007/s10469-024-09762-1}
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