Shackell, J. (1993) Zero-equivalence in function-fields defined by algebraic differential-equations. Transactions of the American Mathematical Society, 336 (1). pp. 151-171. ISSN 0002-9947.
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| Official URL http://dx.doi.org/10.2307/2154342 |
Abstract
We consider function fields obtained as towers over the field of rational functions, each extension being by a solution of an algebraic differential equation. On the assumption that an oracle exists for the constants, we present two algorithms for determining whether a given expression is functionally equivalent to zero in such a field. The first, which uses Grobner bases, has the advantage of theoretical simplicity, but is liable to involve unnecessary computations. The second method is designed with a view to eliminating these.
| Item Type: | Article |
|---|---|
| Uncontrolled keywords: | zero equivalence; functional equivalence; symbolic computation; computer algebra |
| Subjects: | Q Science > QA Mathematics (inc Computing science) |
| Divisions: | Faculties > Science Technology and Medical Studies > School of Mathematics Statistics and Actuarial Science |
| Depositing User: | O.O. Odanye |
| Date Deposited: | 24 Jul 2009 19:12 |
| Last Modified: | 24 Jul 2009 19:12 |
| Resource URI: | http://kar.kent.ac.uk/id/eprint/20672 (The current URI for this page, for reference purposes) |
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