A note on the image of polynomials on upper triangular matrix algebras

DOI10.1080/00927872.2024.2315522MaRDI QIDQ6495936

Publication date: 2 May 2024

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

Endomorphism rings; matrix rings (16S50) Algebraic systems of matrices (15A30) Matrices over function rings in one or more variables (15A54) (T)-ideals, identities, varieties of associative rings and algebras (16R10)

Cites Work

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On the image of a noncommutative polynomial.
On matrices of trace zero
The images of multilinear polynomials on strictly upper triangular matrices
On Fagundes-Mello conjecture
The images of polynomials on \(3 \times 3\) upper triangular matrix algebras
Multilinear polynomials are surjective on algebras with surjective inner derivations
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
On multilinear polynomials in four variables evaluated on matrices
Introduction to noncommutative algebra.
Images of multilinear polynomials on \(n \times n\) upper triangular matrices over infinite fields
Polynomials of small degree evaluated on matrices
The images of non-commutative polynomials evaluated on 2×2 matrices
On Ranges of Polynomials in Finite Matrix Rings
The images of noncommutative polynomials evaluated on the quaternion algebra
Images of multilinear polynomials of degree up to four on upper triangular matrices
The images of multilinear polynomials on 2 × 2 upper triangular matrix algebras
The images of multilinear polynomials on 2 × 2 upper triangular matrix algebras
On the images of Jordan polynomials evaluated over symmetric matrices
Images of multilinear graded polynomials on upper triangular matrix algebras
The image of polynomials and Waring type problems on upper triangular matrix algebras

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