@article{Lu2022, 
author = {Lan Lu and Yu Wang and Huihui Wang and Haoliang Zhao},
title = {The image of polynomials in one variable on    2  ×  2 upper triangular matrix algebras},
year = {2022},
journal = {AIMS Mathematics},
volume = {7},
number = {6},
pages = {9884-9893},
keywords = {polynomial, upper triangular matrix algebra, algebraically closed field},
url = {https://www.sciopen.com/article/10.3934/math.2022551},
doi = {10.3934/math.2022551},
abstract = {In the present paper, we give a description of the image of polynomials in one variable on    2  ×  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  ×  2 upper triangular matrix algebras over an algebraically closed field.}
}