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

DOI10.1080/03081087.2019.1656706zbMath1458.16034OpenAlexW4249622046MaRDI QIDQ5235766

Jie Bai, Panpan Liu, 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/10.1080/03081087.2019.1656706

zbMATH Keywords

multilinear polynomialtriangular algebraupper triangular matrix algebrastrictly 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

The images of polynomials on \(3 \times 3\) 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

Cites Work

• Commuting Maps of Triangular Algebras
• Images of multilinear polynomials of degree up to four on upper triangular matrices
• Derivations of triangular Banach algebras