This article is cited in 5 papers

Existence of independent quasi-equational bases

M. V. Schwidefsky<sup>abc

a</sup> Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk
^b Novosibirsk State Technical University
^c Novosibirsk State University

Abstract: We give a sufficient condition for a quasivariety $\mathbf{K}$, weaker than the one found earlier by A. V. Kravchenko, A. M. Nurakunov, and the author, which ensures that $\mathbf{K}$ contains continuum many subquasivarieties with no independent quasi-equational basis relative to $\mathbf{K}$. This condition holds, in particular, for any almost ${f}{f}$-universal quasivariety $\mathbf{K}$.

Keywords: quasivariety, independent quasi-equational basis.

UDC: 512.57

Received: 13.07.2019
Revised: 12.02.2020

DOI: 10.33048/alglog.2019.58.606

 English version: Algebra and Logic, 2020, 58:6, 514–537

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