Geodesic
The complexity of quasivariety lattices.~II
Sibirskie èlektronnye matematičeskie izvestiâ, Tome 20 (2023) no. 1, pp. 501-513

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We prove that if a quasivariety $\mathbf{K}$ contains a finite $\mathrm{B}^\ast$-class relative to some subquasivariety and some variety possessing some additional property, then $\mathbf{K}$ contains continuum many $Q$-universal non-profinite subquasivarieties having an independent quasi-equational basis as well as continuum many $Q$-universal non-profinite subquasivarieties having no such basis.
Keywords: quasi-equational basis, quasivariety, profinite structure, profinite quasivariety.
Mots-clés : inverse limit 
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     author = {M. V. Schwidefsky},
     title = {The complexity of quasivariety {lattices.~II}},
     journal = {Sibirskie \`elektronnye matemati\v{c}eskie izvesti\^a},
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     year = {2023},
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     url = {http://geodesic.mathdoc.fr/item/SEMR_2023_20_1_a11/}
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M. V. Schwidefsky. The complexity of quasivariety lattices.~II. Sibirskie èlektronnye matematičeskie izvestiâ, Tome 20 (2023) no. 1, pp. 501-513. http://geodesic.mathdoc.fr/item/SEMR_2023_20_1_a11/