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Gröbner $\delta$-bases and Gröbner bases for differential operators

Tom 58 / 2002

Francisco J. Castro-Jiménez, M. Angeles Moreno-Frías Banach Center Publications 58 (2002), 45-61 MSC: Primary 13N10; Secondary 13P10, 16S32, 32C38, 68W30 DOI: 10.4064/bc58-0-4

Streszczenie

This paper deals with the notion of Gröbner $\delta$-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.

Autorzy

  • Francisco J. Castro-JiménezFacultad de Matemáticas
    Universidad de Sevilla
    Aptdo de Correos 1160, E-41080 Sevilla, Spain
    e-mail
  • M. Angeles Moreno-FríasFacultad de Ciencias
    Universidad de Cádiz
    Río San Pedro s//n
    11510 Puerto Real, Cádiz, Spain
    e-mail

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