Independent Axiomatizability of Quasivarieties of Torsion-Free Nilpotent Groups

被引：0

作者：

A. I. Budkin

机构：

[1] Altai State University,

来源：

Algebra and Logic | 2021年 / 60卷

关键词：

nilpotent group; quasivariety; variety; independent basis of quasi-identities;

D O I：

暂无

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学科分类号：

摘要：

Let N be a quasivariety of torsion-free nilpotent groups of class at most two. It is proved that the set of subquasivarieties in N, which have no independent basis of quasiidentities and are generated by a finitely generated group, is infinite. It is stated that there exists an infinite set of quasivarieties M in N which are generated by a finitely generated group and are such that for every quasivariety K(M ⊈ K ⊆ N), an interval [M, K] has the power of the continuum in the quasivariety lattice.

引用

页码：79 / 88

页数：9

共 24 条

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