The image of polynomials in one variable on $ 2\times 2 $ upper triangular matrix algebras
Lan Lu, Yu Wang, Huihui Helen Wang, Haoliang Zhao · AIMS Mathematics · 2022
In the present paper, we give a description of the image of polynomials in one variable on $ 2\times 2 $ upper triangular matrix algebras over an algebraically closed field. As consequences, we give concrete descriptions of the images of polynomials of degrees up to $ 4 $ in one variable on $ 2\times 2 $ upper triangular matrix algebras over an algebraically closed field.