Multilinear polynomials are surjective on algebras with surjective inner derivations

DOI10.1016/J.JALGEBRA.2020.09.004zbMath1459.16027arXiv2106.13140OpenAlexW3084354342MaRDI QIDQ2204841

Daniel Vitas

Publication date: 16 October 2020

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2106.13140

zbMATH Keywords

L'vov-Kaplansky conjecturemultilinear noncommutative polynomialsurjective inner derivation

Mathematics Subject Classification ID

Derivations, actions of Lie algebras (16W25) Rings with polynomial identity (16R99)

Related Items (6)

On n-generalized commutators and Lie ideals of rings ⋮ Evaluations of multilinear polynomials on low rank Jordan algebras ⋮ On the Mesyan conjecture ⋮ Polynomial identities and images of polynomials on null-filiform Leibniz algebras ⋮ Evaluations of noncommutative polynomials on algebras: methods and problems, and the L'vov-Kaplansky conjecture ⋮ Images of multilinear polynomials in the algebra of finitary matrices contain trace zero matrices

Cites Work

• Commutators and images of noncommutative polynomials
• Evaluations of noncommutative polynomials on algebras: methods and problems, and the L'vov-Kaplansky conjecture
• The images of non-commutative polynomials evaluated on 2×2 matrices
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