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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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.
|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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