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  • @techreport{RISC5068,
    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}
    }