Quasivarieties of algebraic systems

DOI10.1007/BF01668420zbMath0328.08006MaRDI QIDQ1226513

V. A. Gorbunov, Aleksandr Ivanovich Budkin

Publication date: 1976

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

Mathematics Subject Classification ID

Special aspects of infinite or finite groups (20F99) Varieties (08B99)

Related Items (23)

Levi classes of quasivarieties of nilpotent groups of exponent \(p^s\) ⋮ On groups which are not finitely defined in every quasivariety of groups ⋮ Dominions in Abelian subgroups of metabelian groups. ⋮ Identities and quasiidentities in the lattice of overcommutative semigroup varieties. ⋮ The lattice of strengthenings of a strongly finite consequence operation ⋮ The axiomatic rank of the Levi class generated by the almost abelian quasivariety of nilpotent groups ⋮ Varieties of monoids with complex lattices of subvarieties ⋮ On the axiomatic rank of some quasivarieties ⋮ The axiomatic rank of Levi classes ⋮ Independent axiomatizability of quasivarieties of torsion-free nilpotent groups ⋮ Semivarieties of nilpotent groups. ⋮ Levi quasivarieties of exponent \(p^s\). ⋮ On the \(\omega\)-independence of quasivarieties of nilpotence groups ⋮ The quasivariety lattice of torsion-free soluble groups. ⋮ The Levi classes generated by nilpotent groups. ⋮ Dominions in quasivarieties of universal algebras ⋮ Dominions in solvable groups. ⋮ \( \omega \)-independent bases for quasivarietes of torsion-free groups ⋮ Filters in the lattice of quasivarieties of metabelian groups ⋮ QUASIVARIETIES OF IDEMPOTENT SEMIGROUPS ⋮ On Levi quasivarieties generated by nilpotent groups ⋮ Join-semidistributive lattices and convex geometries. ⋮ On the closedness of a locally cyclic subgroup in a metabelian group.

Cites Work

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• A note on the elementary theory of finite abelian groups
• Strong finite embeddability for classes of quasigroups
• Implicative classes of algebras
• On the construction of the least universal Horn class containing a given class
• Das ``schiefe Produkt in der Gruppentheorie mit Anwendung auf die endlichen nichtkommutativen Gruppen mit lauter kommutativen echten Untergruppen und die Ordnungszahlen, zu denen nur kommutative Gruppen gehören
• Two concepts from the theory of models
• Some two-generator one-relator non-Hopfian groups
• A Note on the Implicational Class Generated by a Class of Structures
• Varieties of groups
• Some Connections between Residual Finiteness, Finite Embeddability and the Word Problem

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