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.

Detalles Bibliográficos
Autores: Andrade, Antonio Aparecido de [UNESP], Shah, Tariq
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2012
País:Brasil
Institución:Universidade Estadual Paulista (UNESP)
Repositorio:Repositório Institucional da UNESP
Idioma:inglés
OAI Identifier:oai:repositorio.unesp.br:11449/122685
Acceso en línea:http://www.diogenes.bg/ijam/contents/index.html
http://hdl.handle.net/11449/122685
Access Level:acceso abierto
Palabra clave:Galois ring
Galois field
BCH code
McCoy rank
Descripción
Sumario: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.