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The News of Altai State University
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J.A. Avtsinova

On of Axiomatic Rank Two Quasivarieties of Torsion-free Metabelian Groups

Let M be a quasivariety of torsion-free groups in which quadrates of elements are commutative. In this paper we proved that the quasivariety of torsion-free abelian groups is the unique proper subquasivariety in M of axiomatic rank two definable by commutator quasi-identities.

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