Independent axiomatizability of quasi-varieties of soluble groups

DOI10.1007/BF01978829zbMath0791.20024OpenAlexW1996006648MaRDI QIDQ1803009

Aleksandr Ivanovich Budkin

Publication date: 29 June 1993

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

Full work available at URL: https://doi.org/10.1007/bf01978829

zbMATH Keywords

coversquasi-varieties of groupsindependent bases of quasi-identitiesindependent axiomatizabilitylattice of quasi-varieties

Mathematics Subject Classification ID

Applications of logic to group theory (20A15) Solvable groups, supersolvable groups (20F16) Lattices of varieties (08B15) Quasivarieties and varieties of groups (20E10) Quasivarieties (08C15)

Related Items (5)

Quasiequational bases of Cantor algebras ⋮ On sufficient conditions for \(Q\)-universality ⋮ On the \(\omega\)-independence of quasivarieties of nilpotence groups ⋮ The quasivariety lattice of torsion-free soluble groups. ⋮ \( \omega \)-independent bases for quasivarietes of torsion-free groups

Cites Work

• A Note on the Implicational Class Generated by a Class of Structures
• Varieties of groups
• Density Questions in Algebraic Number Theory
• Finiteness Conditions for Soluble Groups
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