On quasivarieties of axiomatic rank 3 of torsion-free nilpotent groups
- Authors: Budkin A.I.1
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Affiliations:
- Altai State University
- Issue: Vol 58, No 1 (2017)
- Pages: 43-48
- Section: Article
- URL: https://journals.rcsi.science/0037-4466/article/view/170917
- DOI: https://doi.org/10.1134/S0037446617010062
- ID: 170917
Cite item
Abstract
We study the lattice of quasivarieties of axiomatic rank at most 3 of torsion-free nilpotent groups of class at most 3. We prove that this lattice has cardinality of the continuum and includes a sublattice that is order isomorphic to the set of real numbers. Also we establish that the lattice of quasivarieties of axiomatic rank at most 2 of these groups is a 5-element chain.
Keywords
About the authors
A. I. Budkin
Altai State University
Author for correspondence.
Email: budkin@math.asu.ru
Russian Federation, Barnaul
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