Growth of central polynomials of algebras with involution
| Autor: | Carla Rizzo, Fabrizio Martino |
|---|---|
| Přispěvatelé: | Fabrizio Martino, Carla Rizzo |
| Jazyk: | angličtina |
| Rok vydání: | 2021 |
| Předmět: | |
| Popis: | 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. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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