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math.RA2023
Images of linear polynomials on upper triangular matrix algebras
Yingyu Luo, Qian Chen
The Fagundes-Mello conjecture asserts that every multilinear polynomial on upper triangular matrix algebras is a vector space, which is an improtant variation of the old and famous…
math.RA2023★ 1 cited
Image of arbitrary polynomials on upper triangular matrix algebras
Qian Chen, Yu Wang
The goal of the paper is to give a complete description of the images of noncommutative polynomials with zero constant term on upper triangular matrix algebras over an algebraicall…