Multilinear Polynomials Are Surjective on Algebras With Surjective Inner Derivations
| Autor: | Vitas, Daniel |
|---|---|
| Rok vydání: | 2021 |
| Předmět: | |
| Zdroj: | Journal of Algebra, 565, 255-281 (2021) |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1016/j.jalgebra.2020.09.004 |
| Popis: | Let $f(X_1,\dots, X_n)$ be a nonzero multilinear noncommutative polynomial. If $A$ is a unital algebra with a surjective inner derivation, then every element in $A$ can be written as $f(a_1,\dots,a_n)$ for some $a_i\in A$. Comment: 21 pages, 0 figures, submited to Journal of Algebra |
| Databáze: | arXiv |
| Externí odkaz: |
|