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Quasivarieties with Torsion-Free Nilpotent Groups

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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.

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    A. I. Budkin

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Budkin, A.I. Quasivarieties with Torsion-Free Nilpotent Groups. Algebra and Logic 40, 353–364 (2001). https://doi.org/10.1023/A:1013791908143

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