Abstract
We construct a continuous family of algebras over a field of characteristic zero with slow codimension growth bounded by a polynomial of degree 4. This is achieved by building, for any real number α ∈(0, 1) a commutative nonassociative algebra A_α whose codimension sequence c_n(A_α), n =1, 2, ..., is polynomially bounded .As an application we are able to construct a new example of a variety with an infinite basis of identities.
Lingua originale | English |
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pagine (da-a) | 421-436 |
Numero di pagine | 16 |
Rivista | Journal of Algebra |
Volume | 469 |
Stato di pubblicazione | Published - 2017 |
All Science Journal Classification (ASJC) codes
- Algebra and Number Theory