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- Title
Nilpotent varieties and metabelian varieties.
- Authors
VALENTI, Angela; MISHCHENKO, Sergey
- 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.
- Subjects
VARIETIES (Universal algebra); ALGEBRAIC varieties; NONASSOCIATIVE algebras; ALGEBRA; POLYNOMIALS
- Publication
Turkish Journal of Mathematics, 2022, Vol 46, p2023
- ISSN
1300-0098
- Publication type
Article
- DOI
10.55730/1300-0098.3250