Gröbner δ-bases and Gröbner bases for differential operators

Francisco J. Castro-Jiménez, and M. Angeles Moreno-Frías. "Gröbner δ-bases and Gröbner bases for differential operators." Banach Center Publications 58.1 (2002): 45-61. <http://eudml.org/doc/282252>.

@article{FranciscoJ2002,
abstract = {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.},
author = {Francisco J. Castro-Jiménez, M. Angeles Moreno-Frías},
journal = {Banach Center Publications},
keywords = {Gröbner -bases; rings of differential operators; algorithms; left ideals; Weyl algebras},
language = {eng},
number = {1},
pages = {45-61},
title = {Gröbner δ-bases and Gröbner bases for differential operators},
url = {http://eudml.org/doc/282252},
volume = {58},
year = {2002},
}

TY - JOUR
AU - Francisco J. Castro-Jiménez
AU - M. Angeles Moreno-Frías
TI - Gröbner δ-bases and Gröbner bases for differential operators
JO - Banach Center Publications
PY - 2002
VL - 58
IS - 1
SP - 45
EP - 61
AB - 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.
LA - eng
KW - Gröbner -bases; rings of differential operators; algorithms; left ideals; Weyl algebras
UR - http://eudml.org/doc/282252
ER -