On the axiomatic ranks of some quasivarieties

descriptionPublicationkeyboard_double_arrow_right Article 01 Feb 1999 English Publisher:Springer Science and Business Media LLCJournal:Siberian Mathematical Journal, volume 40, pages 143-152 (issn: 0037-4466, eissn: 1573-9260,

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Authors: Polovnikova, E. S.;

doi: 10.1007/bf02674301

On the axiomatic ranks of some quasivarieties

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Abstract

The author studies the axiomatic rank of quasivarieties of torsion-free nilpotent groups of class at most \(2\). Theorem 1. There are no quasivarieties of torsion-free nilpotent groups of class at most \(2\) which have axiomatic rank equal to \(3\).

Keywords

Nilpotent groups, axiomatic rank, nilpotent groups, quasivarieties of groups, Quasivarieties, Quasivarieties and varieties of groups

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