Gröbner δ-bases and Gröbner bases for differential operators

• Autorzy: Francisco J. Castro-Jiménez , M. Angeles Moreno-Frías
• Języki publikacji: EN

Abstrakty

EN

This paper deals with the notion of Gröbner 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 we give some results on finiteness and on flatness of finitely generated left modules over these rings.

Kategorie tematyczne

• 16S32: Rings of differential operators
• 32C38: Sheaves of differential operators and their modules, D -modules
• 13P10: Gr\"obner bases; other bases for ideals and modules (e.g., Janet and border bases)
• 13N10: Rings of differential operators and their modules
• 68W30: Symbolic computation and algebraic computation

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Banach Center Publications
• Rocznik: 2002
• Tom: 58
• Numer: 1
• Strony: 45-61

Daty

wydano

2002

Twórcy

autor

Francisco J. Castro-Jiménez

• Facultad de Matemáticas, Universidad de Sevilla, Aptdo de Correos 1160, E-41080 Sevilla, Spain

autor

M. Angeles Moreno-Frías

• Facultad de Ciencias, Universidad de Cádiz, Río San Pedro s/n, 11510 Puerto Real, Cádiz, Spain

Identyfikatory

DOI

10.4064/bc58-0-4