@article{Alkhamees2022, 
author = {Yousef Alkhamees and Badr Alhajouj},
title = {Structure of a chain ring as a ring of matrices over a Galois ring},
year = {2022},
journal = {AIMS Mathematics},
volume = {7},
number = {9},
pages = {15824-15833},
keywords = {local ring, chain ring, Galois ring, companion matrix},
url = {https://www.sciopen.com/article/10.3934/math.2022866},
doi = {10.3934/math.2022866},
abstract = {The structure of a finite chain ring has already been described by Wirt in 1972 and others later. The purpose of this article is to describe another structure of a finite chain ring as a ring of square matrices over Galois ring using the companion matrix of a certain Eisenstein polynomial over Galois ring. Such a companion matrix generates the unique maximal ideal of the corresponding matrix chain ring.}
}