The images of multilinear polynomials on 2 × 2 upper triangular matrix algebras

DOI10.1080/03081087.2019.1614519zbMath1422.16029OpenAlexW2945325604MaRDI QIDQ5235781

Yu Wang

Publication date: 14 October 2019

Published in: Linear and Multilinear Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03081087.2019.1614519

zbMATH Keywords

multilinear polynomialtriangular algebraupper triangular matrix algebraLvov-Kaplansky conjecturestrictly upper triangular matrix algebra

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Matrices over function rings in one or more variables (15A54)

Related Items (9)

The images of polynomials on \(3 \times 3\) upper triangular matrix algebras ⋮ Images of multilinear graded polynomials on upper triangular matrix algebras ⋮ The images of multilinear and semihomogeneous polynomials on the algebra of octonions ⋮ Evaluations of noncommutative polynomials on algebras: methods and problems, and the L'vov-Kaplansky conjecture ⋮ The image of polynomials on \(2\times 2\) upper triangular matrix algebras ⋮ The images of completely homogeneous polynomials on \(2\times 2\) upper triangular matrix algebras ⋮ The image of multilinear polynomials evaluated on \(3 \times 3\) upper triangular matrices ⋮ Unnamed Item ⋮ On Fagundes-Mello conjecture

Cites Work

• On the images of Lie polynomials evaluated on Lie algebras
• On matrices of trace zero
• Functional identities in upper triangular matrix rings.
• Power-central polynomials on matrices.
• The images of multilinear polynomials on strictly upper triangular matrices
• On multilinear polynomials in four variables evaluated on matrices
• Polynomials of small degree evaluated on matrices
• The images of non-commutative polynomials evaluated on 2×2 matrices
• Commuting Maps of Triangular Algebras
• The images of multilinear polynomials evaluated on $3\times 3$ matrices
• Lie Derivations of Triangular Algebras
• The images of Lie polynomials evaluated on matrices
• Functional identities in upper triangular matrix rings revisited
• Images of multilinear polynomials of degree up to four on upper triangular matrices
• On the images of Jordan polynomials evaluated over symmetric matrices

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