Structure of quasivariety lattices. I: Independent axiomatizability

DOI10.1007/s10469-019-09516-4zbMath1439.08008OpenAlexW2924675113WikidataQ128206963 ScholiaQ128206963MaRDI QIDQ2011341

Anvar M. Nurakunov, Aleksandr Vladimirovich Kravchenko, M. V. Schwidefsky

Publication date: 6 December 2019

Published in: Algebra and Logic (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10469-019-09516-4

zbMATH Keywords

quasivarietyquasi-identityindependent basis\(Q\)-universalityquasivariety lattice

Mathematics Subject Classification ID

Lattices of varieties (08B15) Quasivarieties (08C15)

Related Items (13)

Structure of quasivariety lattices. IV: Nonstandard quasivarieties ⋮ A relatively finite-to-finite universal but not Q-universal quasivariety ⋮ On the independent axiomatizability of quasivarieties of nilpotent groups ⋮ On sufficient conditions for \(Q\)-universality ⋮ On a class of subsemigroup lattices ⋮ Structure of quasivariety lattices. III: Finitely partitionable bases ⋮ On the complexity of the lattices of subvarieties and congruences ⋮ On the quasivarieties generated by a finite group and lacking any independent bases of quasi-identities ⋮ Independent axiomatizability of quasivarieties of torsion-free nilpotent groups ⋮ On quasi-equational bases for differential groupoids and unary algebras ⋮ Structure of quasivariety lattices. II: Undecidable problems ⋮ On the complexity of the lattices of subvarieties and congruences. II: Differential groupoids and unary algebras ⋮ Existence of independent quasi-equational bases

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