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Some lattices of quasivarieties of algebras
V. P. Belkin
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Filters in lattices of quasivarieties of algebraic systems
Belkin, V. P., Gorbunov, V. A.
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A class of lattices of quasivarieties
Gorbunov, V. A., Tumanov, V. I.
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The lattice of quasivarieties of undirected graphs
Algebra Universalis, 2002For a quasivariety \(\mathcal K\), let \(L(\mathcal K)\) denote the lattice of all quasivarieties contained in \(\mathcal K \). A quasivariety \(\mathcal K\) is said to be \(Q\)-universal if for any quasivariety \(\mathcal M\) of finite type, \(L(\mathcal M )\) is a homomorphic image of a sublattice of \(L(\mathcal K)\).
Adams, M. E., Dziobiak, W.
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Complexity of Quasivariety Lattices
Algebra and Logic, 2015A quasivariety \(\mathbf K\) is a class of algebraic systems closed under isomorphisms, subsystems, direct products, and ultraproducts. The quasivarieties contained in a quasivariety \(\mathbf K\) form a complete lattice \(\mathbf{Lq(K)}\) under inclusion. Quasivariety lattices might be highly complex. A measure of complexity is given by the notion of \
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Complexity of quasivariety lattices of pointed Abelian groups
Doklady Mathematics, 2012zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Imanaliev, M. I., Nurakunov, A. M.
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Quasivariety Lattices of Pointed Abelian Groups
Algebra and Logic, 2014zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Coverings in the lattice of quasivarieties of ℓ-groups
Siberian Mathematical Journal, 1992See the review in Zbl 0772.06013.
Isaeva, O. V., Medvedev, N. Ya.
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A variety of lattices whose quasivarieties are varieties
Grätzer, G., Lakser, H.
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