Christoph Fürst, Günter Landsmann,
"The Concept of Gröbner Reduction for Dimension in filtered free modules"
, Serie RISC Report Series, Nummer 14-12, RISC, JKU, Hagenberg, Linz, 10-2014
Original Titel:
The Concept of Gröbner Reduction for Dimension in filtered free modules
Sprache des Titels:
Englisch
Original Kurzfassung:
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.
Forschungs-