•  
  •  
 

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.

First Page

2023

Last Page

2033

Included in

Mathematics Commons

Share

COinS