Geodesic
Existence of independent quasi-equational bases
Algebra i logika, Tome 58 (2019) no. 6, pp. 769-803.

Voir la notice de l'article provenant de la source Math-Net.Ru

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. 
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M. V. Schwidefsky. Existence of independent quasi-equational bases. Algebra i logika, Tome 58 (2019) no. 6, pp. 769-803. http://geodesic.mathdoc.fr/item/AL_2019_58_6_a5/

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