Quasivarieties of \(\ell\)-groups and groups

DOI10.1007/BF00969031zbMath0592.06008OpenAlexW2152866824MaRDI QIDQ1075346

N. Ya. Medvedev

Publication date: 1985

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00969031

zbMATH Keywords

groupscompletionindependentright-orderable groupsDedekindbasis of quasiidentitiesorthocompletionquasivarieties of lattice-ordered groupsquasivarieties of solvable torsion-freesolvable right-ordered groupsvarieties of lattice-ordered groups

Mathematics Subject Classification ID

Solvable groups, supersolvable groups (20F16) Lattices of varieties (08B15) Quasivarieties and varieties of groups (20E10) Ordered groups (06F15) Quasivarieties (08C15) Ordered groups (group-theoretic aspects) (20F60)

Related Items (3)

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 ⋮ \( \omega \)-independent bases for quasivarietes of torsion-free groups

Cites Work

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• The equation \(a_ M=b^ Nc^ P\) in a free group
• Ordered groups
• Relatively convex subgroups of orderable groups
• Convergence and Cauchy Structures on Lattice Ordered Groups
• On the theory of varieties of lattice ordered groups
• Groups with the same lower Central Sequence as a Relatively Free Group. I The Groups

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