Multilinear polynomials are surjective on algebras with surjective inner derivations
نویسندگان
چکیده
Let $f(X_1,\dots, X_n)$ be a nonzero multilinear noncommutative polynomial. If $A$ is unital algebra with surjective inner derivation, then every element in can written as $f(a_1,\dots,a_n)$ for some $a_i\in A$.
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ژورنال
عنوان ژورنال: Journal of Algebra
سال: 2021
ISSN: ['1090-266X', '0021-8693']
DOI: https://doi.org/10.1016/j.jalgebra.2020.09.004