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. 
@article{AL_2019_58_6_a5,
     author = {M. V. Schwidefsky},
     title = {Existence of independent quasi-equational bases},
     journal = {Algebra i logika},
     pages = {769--803},
     publisher = {mathdoc},
     volume = {58},
     number = {6},
     year = {2019},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/AL_2019_58_6_a5/}
}
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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/