On the axiomatic rank of some quasivarieties

DOI10.1007/BF02674301zbMath0941.20019MaRDI QIDQ1972174

E. S. Polovnikova

Publication date: 16 April 2000

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

zbMATH Keywords

nilpotent groupsquasivarieties of groupsaxiomatic rank

Mathematics Subject Classification ID

Nilpotent groups (20F18) Quasivarieties and varieties of groups (20E10) Quasivarieties (08C15)

Related Items (5)

On quasivarieties of axiomatic rank 3 of torsion-free nilpotent groups ⋮ On the independent axiomatizability of quasivarieties of nilpotent groups ⋮ Quasivarieties of nilpotent groups of axiomatic rank 4 ⋮ Finiteness of a set of quasivarieties of torsion-free metabelian groups of axiomatic rank 2. ⋮ Absolutely closed groups in the class of 2-step nilpotent torsion-free groups.

Cites Work

• Unnamed Item
• On Q-theories of 2-generated groups with given axiomatic rank
• Quasiidentities of nilpotent groups and of groups with one defining relation
• Quasivarieties of algebraic systems
• Quasi-identities in a free group
• Quasi-identities of torsion-free \(2\)-generator groups

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