On quasivarieties of axiomatic rank 3 of torsion-free nilpotent groups
- Авторлар: Budkin A.1
-
Мекемелер:
- Altai State University
- Шығарылым: Том 58, № 1 (2017)
- Беттер: 43-48
- Бөлім: Article
- URL: https://journals.rcsi.science/0037-4466/article/view/170917
- DOI: https://doi.org/10.1134/S0037446617010062
- ID: 170917
Дәйексөз келтіру
Аннотация
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.
Негізгі сөздер
Авторлар туралы
A. Budkin
Altai State University
Хат алмасуға жауапты Автор.
Email: budkin@math.asu.ru
Ресей, Barnaul