A note on units of finite local rings in an ascending chain

In this paper we present matrices over unitary finite commutative local rings connected through an ascending chain of containments, whose elements are units of the corresponding rings in the chain such that the McCoy ranks are the largest ones.

Bibliographic Details
Authors: Andrade, Antonio Aparecido de [UNESP], Shah, Tariq
Format: article
Status:Published version
Publication Date:2012
Country:Brasil
Institution:Universidade Estadual Paulista (UNESP)
Repository:Repositório Institucional da UNESP
Language:English
OAI Identifier:oai:repositorio.unesp.br:11449/122685
Online Access:http://www.diogenes.bg/ijam/contents/index.html
http://hdl.handle.net/11449/122685
Access Level:Open access
Keyword:Galois ring
Galois field
BCH code
McCoy rank
Description
Summary:In this paper we present matrices over unitary finite commutative local rings connected through an ascending chain of containments, whose elements are units of the corresponding rings in the chain such that the McCoy ranks are the largest ones.