Structure of a chain ring as a ring of matrices over a Galois ring

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 Galoi...

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Bibliographic Details
Main Authors: Yousef Alkhamees, Badr Alhajouj
Format: Article
Language:English
Published: AIMS Press 2022-06-01
Series:AIMS Mathematics
Subjects:
Online Access:https://www.aimspress.com/article/doi/10.3934/math.2022866?viewType=HTML