Multilinear polynomials are surjective on algebras with surjective inner derivations
D Vitas�- Journal of Algebra, 2021 - Elsevier
Journal of Algebra, 2021•Elsevier
Multilinear polynomials are surjective on algebras with surjective inner derivations -
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Volume 565, 1 January 2021, Pages 255-281 Journal of Algebra Multilinear polynomials are
surjective on algebras with surjective inner derivations Author links open overlay panel Daniel
Vitas Show more Share Cite https://doi.org/10.1016/j.jalgebra.2020.09.004 Get rights and�…
ScienceDirect Skip to main contentSkip to article Elsevier logo Journals & Books Search
RegisterSign in View PDF Download full issue Search ScienceDirect Elsevier Journal of Algebra
Volume 565, 1 January 2021, Pages 255-281 Journal of Algebra Multilinear polynomials are
surjective on algebras with surjective inner derivations Author links open overlay panel Daniel
Vitas Show more Share Cite https://doi.org/10.1016/j.jalgebra.2020.09.004 Get rights and�…
Abstract
Abstract Let f (X 1,…, 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,…, a n) for some a i∈ A.
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