This article is cited in 6 papers

Quasivarieties with Torsion-Free Nilpotent Groups

A. I. Budkin


Abstract: A condition is specified on which a quasivariety generated by a direct product of two groups with amalgamated central subgroups has an infinite lattice of subquasivarieties. A lattice of quasivarieties is stated finite for a quasivariety which is a union of some covers of Abelian groups in a lattice of quasivarieties of torsion-free solvable groups.

Keywords: quasivariety, lattice of quasivarieties, nilpotent group, Abelian group, torsion-free solvable group.

UDC: 512.54.01

Received: 04.05.2000

 English version: Algebra and Logic, 2001, 40:6, 353–364

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