Gröbner bases in difference-differential modules

Authors:
Meng Zhou;Franz Winkler
Affiliations:
Beihang University, Beijing, China;Johannes Kepler University Linz, Linz, Austria
Venue:
Proceedings of the 2006 international symposium on Symbolic and algebraic computation
Year:
2006

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Abstract

We extend the theory of Gröbner bases to difference-differential modules. The main goal of this paper is to present and verify algorithms for constructing Gröbner bases for such difference-differential modules. To this aim we introduce the concept of generalized term order on Nm × Zn and on difference-differential modules.