Mansfield, Elizabeth L., Szanto, A. (2003) Elimination Theory for differential difference polynomials. Proceedings of the 2003 International Symposium for Symbolic Algebra and Computation, . pp. 191-198. (doi:10.1145/860854.860897) (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) (KAR id:10604)
| 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. | |
| Official URL: http://doi.acm.org/10.1145/860854.860897 |
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Abstract
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 |
|---|---|
| DOI/Identification number: | 10.1145/860854.860897 |
| Subjects: | Q Science > QA Mathematics (inc Computing science) |
| Institutional Unit: | Schools > School of Engineering, Mathematics and Physics > Mathematical Sciences |
| Former Institutional Unit: |
Divisions > Division of Computing, Engineering and Mathematical Sciences > School of Mathematics, Statistics and Actuarial Science
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| Depositing User: | Elizabeth Mansfield |
| Date Deposited: | 10 Sep 2008 12:40 UTC |
| Last Modified: | 20 May 2025 11:32 UTC |
| Resource URI: | https://kar.kent.ac.uk/id/eprint/10604 (The current URI for this page, for reference purposes) |
University of Kent Author Information
Mansfield, Elizabeth L..
| Creator's ORCID: |
 https://orcid.org/0000-0002-6778-2241
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