author = {Christoph Fuerst and Guenter Landsmann},
title = {{The Concept of Gröbner Reduction for Dimension in filtered free modules}},
language = {english},
abstract = {We present the concept of Gröbner reduction that is a Gröbner basis technique on filtered free modules. It allows to compute the dimension of a filtered free module viewn as a K-vector space. We apply the de- veloped technique to the computation of a generalization of Hilbert-type dimension polynomials in K[X] as well as in finitely generated difference- differential modules. The latter allows us to determine a multivariate dimension polynomial where we partition the set of derivations and the set of automorphism in a difference-differential ring in an arbitrary way.},
number = {14-12},
year = {2014},
month = {October},
length = {13},
type = {RISC Report Series},
institution = {Research Institute for Symbolic Computation (RISC), Johannes Kepler University Linz},
address = {Schloss Hagenberg, 4232 Hagenberg, Austria}