Some improvements of a lemma of Rosenfeld

François Boulier

Date: July 17th (Wednesday)
Time: 09:20-09:50
Abstract
We give some improvements of a lemma of Rosenfeld which permit us to optimize some algorithms in differential algebra: we prove the lemma with weaker hypotheses and we demonstrate an analogue of Buchberger's second criterion, which avoids non necessary reductions for detecting coherent sets of differential polynomials. We try also to clarify the relations between the theorems in differential algebra and some more widely known results in the Gröbner bases theory.

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