Elimination Theory for differential difference polynomials

Mansfield, Elizabeth L. and Szanto, A. (2003) Elimination Theory for differential difference polynomials. Proceedings of the 2003 International Symposium for Symbolic Algebra and Computation . pp. 191-198. (The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided)

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In this paper we give an elimination algorithm for differential difference polynomial systems. We use the framework of a generalization of Ore algebras, where the independent variables are non-commutative. We prove that for certain term orderings, Buchberger's algorithm applied to differential difference systems terminates and produces a Gröbner basis. Therefore, differential-difference algebras provide a new instance of non-commutative graded rings which are effective Gröbner structures.

Item Type: Article
Subjects: Q Science > QA Mathematics (inc Computing science)
Divisions: Faculties > Science Technology and Medical Studies > School of Mathematics Statistics and Actuarial Science > Applied Mathematics
Depositing User: Judith Broom
Date Deposited: 10 Sep 2008 12:40
Last Modified: 30 May 2014 08:57
Resource URI: https://kar.kent.ac.uk/id/eprint/10604 (The current URI for this page, for reference purposes)
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