6533b825fe1ef96bd12820a0
RESEARCH PRODUCT
On almost nilpotent varieties of subexponential growth
A. ValentiS. Mishchenkosubject
Discrete mathematicsSecondaryAlgebra and Number TheoryCodimensionPolynomial identityCombinatoricsSettore MAT/02 - AlgebraMathematics::Group TheoryIdentity (mathematics)NilpotentCodimensionVarietyVariety (universal algebra)Nilpotent groupAlmost nilpotentPrimaryPolinomial identities. Variety Codimensions Growth.Mathematicsdescription
Abstract Let N 2 be the variety of left-nilpotent algebras of index two, that is the variety of algebras satisfying the identity x ( y z ) ≡ 0 . We introduce two new varieties, denoted by V sym and V alt , contained in the variety N 2 and we prove that V sym and V alt are the only two varieties almost nilpotent of subexponential growth.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2015-02-01 | Journal of Algebra |