Independent axiomatizability of quasivarieties of generalized solvable groups

DOI10.1007/BF01988796zbMath0621.20011MaRDI QIDQ1090409

Aleksandr Ivanovich Budkin

Publication date: 1986

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

Full work available at URL: https://eudml.org/doc/187348

zbMATH Keywords

nilpotent groupslinearly ordered groupsquasi-varietyfree solvable groupZ-groupsabelian-by- polycyclic groupindependent system of quasi-identitiesR-groups

Mathematics Subject Classification ID

Solvable groups, supersolvable groups (20F16) Generalizations of solvable and nilpotent groups (20F19) Quasivarieties and varieties of groups (20E10) Ordered groups (06F15) Quasivarieties (08C15) Ordered groups (group-theoretic aspects) (20F60)

Related Items (10)

Quasi-identities of finite nilpotent groups ⋮ Quasi-identities of torsion-free \(2\)-generator groups ⋮ Quasiequational bases of Cantor algebras ⋮ On sufficient conditions for \(Q\)-universality ⋮ On Q-theories of 2-generated groups with given axiomatic rank ⋮ 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 the \(\omega\)-independence of quasivarieties of nilpotence groups ⋮ \( \omega \)-independent bases for quasivarietes of torsion-free groups ⋮ Filters in the lattice of quasivarieties of metabelian groups

Cites Work

• Approximation of analytic functions of two variables by polynomials in the Mittag-Leffler star
• Quasiidentities in a free group
• Residually central wreath products
• Relatively convex subgroups of orderable groups
• A Note on the Implicational Class Generated by a Class of Structures
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