|
This article is cited in 12 scientific papers (total in 12 papers)
Varieties of algebras that are solvable of index 2
S. V. Pchelintsev
Abstract:
Let $\mathfrak M$ be one of the varieties $\operatorname{Alt}_2$, $(-1,1)_2$, $\operatorname{Malc}_2$ or $\operatorname{Jord}_2$ and let $\mathscr M$ be the set of all non-nilpotent subvarieties of $\mathfrak M$. This set is provided in a natural way with a certain topology. A characterization of $\mathfrak M$ is given in terms of the corresponding structure on $\mathscr M$.
Bibliography: 12 titles.
Received: 07.02.1980
Citation:
S. V. Pchelintsev, “Varieties of algebras that are solvable of index 2”, Mat. Sb. (N.S.), 115(157):2(6) (1981), 179–203; Math. USSR-Sb., 43:2 (1982), 159–180
Linking options:
https://www.mathnet.ru/eng/sm2381https://doi.org/10.1070/SM1982v043n02ABEH002442 https://www.mathnet.ru/eng/sm/v157/i2/p179
|
Statistics & downloads: |
Abstract page: | 272 | Russian version PDF: | 108 | English version PDF: | 12 | References: | 28 |
|