Turkish Journal of Mathematics
DOI
10.55730/1300-0098.3250
Abstract
We deal with varieties of nonassociative algebras having polynomial growth of codimensions. We describe some results obtained in recent years in the class of left nilpotent algebras of index two. Recently the authors established a correspondence between the growth rates for left nilpotent algebras of index two and the growth rates for commutative or anticommutative metabelian algebras that allows to transfer the results concerning varieties of left nilpotent algebras of index two to varieties of commutative or anticommutative metabelian algebras.
Keywords
Varieties, codimension growth
First Page
2023
Last Page
2033
Recommended Citation
VALENTI, ANGELA and MISHCHENKO, SERGEY
(2022)
"Nilpotent varieties and metabelian varieties,"
Turkish Journal of Mathematics: Vol. 46:
No.
5, Article 29.
https://doi.org/10.55730/1300-0098.3250
Available at:
https://journals.tubitak.gov.tr/math/vol46/iss5/29
