Gröbner δ-bases and Gröbner bases for differential operators
Banach Center Publications, Tome 58 (2002) no. 1, p. 45.

Voir la notice de l'article dans European Digital Mathematics Library

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.
Classification : 13P10, 16S32, 13N10, 68W30, 32C38
Mots-clés : Gröbner -bases, rings of differential operators, algorithms, left ideals, Weyl algebras 
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     author = {Francisco J.  Castro-Jim\'enez and M. Angeles  Moreno-Fr{\'\i}as},
     title = {Gr\"obner \ensuremath{\delta}-bases and {Gr\"obner} bases for differential operators},
     journal = {Banach Center Publications},
     pages = {45},
     publisher = {mathdoc},
     volume = {58},
     number = {1},
     year = {2002},
     zbl = {1058.16025},
     language = {en},
     url = {https://geodesic-test.mathdoc.fr/item/BCP_2002__58_1_282252/}
}
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Francisco J.  Castro-Jiménez; M. Angeles  Moreno-Frías. Gröbner δ-bases and Gröbner bases for differential operators. Banach Center Publications, Tome 58 (2002) no. 1, p. 45. https://geodesic-test.mathdoc.fr/item/BCP_2002__58_1_282252/