Gröbner δ-bases and Gröbner bases for differential operators

This paper deals with the notion of Gr¨obner δ-base for some rings of linear differential operators by adapting the works of W. Trinks, A. Assi, M. Insa and F. Pauer. We compare this notion with the one of Gröbner base for such rings. As an application, and following a previous work of A. Assi, we g...

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Detalhes bibliográficos
Autores: Castro Jiménez, Francisco Jesús, Moreno Frías, María Ángeles
Formato: artículo
Estado:Versión enviada para evaluación y publicación
Fecha de publicación:2002
País:España
Recursos:Universidad de Sevilla (US)
Repositorio:idUS. Depósito de Investigación de la Universidad de Sevilla
OAI Identifier:oai:idus.us.es:11441/44733
Acesso em linha:http://hdl.handle.net/11441/44733
Access Level:acceso abierto
Descrição
Resumo:This paper deals with the notion of Gr¨obner δ-base for some rings of linear differential operators by adapting the works of W. Trinks, A. Assi, M. Insa and F. Pauer. We compare this notion with the one of Gröbner base for such rings. As an application, and following a previous work of A. Assi, we give some results on finiteness and on flatness of finitely generated left modules over these rings.