Relative Reduction and Buchberger’s Algorithm in Filtered Free Modules

Author:

Fürst Christoph,Levin Alexander

Funder

Johannes Kepler University Linz

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Computational Theory and Mathematics,Computational Mathematics

Reference22 articles.

1. Buchberger, B.: An algorithm for finding the basis elements of the residue class ring of a zero dimensional polynomial ideal. Ph.D. Thesis, University of Innsbruck (1965)

2. Dönch, C., Winkler, F.: Bivariate difference-differential polynomials and their computation in Maple. In: Proceedings of 8th International Conference on Applied Informatics, pp. 211–218. Eger, Hungary (2010)

3. Dönch, C.: Standard bases in finitely generated difference-skew-differential modules and their application to dimension polynomials. Ph.D. Thesis, Research Institute for Symbolic Computation (RISC), Linz, Austria (2012)

4. Dönch, C.: Characterization of relative Gröbner Bases. J. Symb. Comput. 55(1), 19–29 (2013)

5. Dönch, C., Levin, A.: Bivariate dimension polynomials and new invariants of finitely generated D-modules. Internat. J. Algebra Comput. 23(7), 1625–1651 (2013)

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