Gröbner $\delta$-bases and Gröbner bases for differential operators
Volume 58 / 2002
Banach Center Publications 58 (2002), 45-61
MSC: Primary 13N10; Secondary 13P10, 16S32, 32C38, 68W30
DOI: 10.4064/bc58-0-4
Abstract
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.