@article{Yang2024, 
author = {Yanni Yang and Quanguo Chen},
title = {The criteria for automorphisms on finite-dimensional algebras},
year = {2024},
journal = {Electronic Research Archive},
volume = {32},
number = {11},
pages = {6140-6152},
keywords = {Hopf algebra, matrix, automorphism, quaternion},
url = {https://www.sciopen.com/article/10.3934/era.2024285},
doi = {10.3934/era.2024285},
abstract = {In this paper, we will establish a criterion for automorphisms of finite-dimensional algebras. As an application, we will describe all automorphisms of the single-parameter generalized quaternion algebra. Additionally, we will obtain all automorphisms of Sweedler's 4-dimensional Hopf algebra.}
}