6533b82bfe1ef96bd128cd20
RESEARCH PRODUCT
Growth of central polynomials of algebras with involution
Carla RizzoFabrizio Martinosubject
polynomial identity central polynomials exponent cxdimension growthPure mathematicsSettore MAT/02 - AlgebraExponentInvolution (philosophy)Mathematicsdescription
Let A be an associative algebra with involution ∗ over a field of characteristic zero. A central ∗-polynomial of A is a polynomial in non- commutative variables that takes central values in A. Here we prove the existence of two limits called the central ∗-exponent and the proper central ∗-exponent that give a measure of the growth of the central ∗-polynomials and proper central ∗-polynomials, respectively. Moreover, we compare them with the PI-∗-exponent of the algebra.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2021-08-13 |