33 citations · 74 across the 6 of their papers we have counts for
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math.AC2008★ 8 cited
On the generalised Ritt problem as a computational problem
Oleg Golubitsky, Marina Kondratieva, Alexey Ovchinnikov
The Ritt problem asks if there is an algorithm that tells whether one prime differential ideal is contained in another one if both are given by their characteristic sets. We give s…
math.AC2008★ 33 cited
A Bound for Orders in Differential Nullstellensatz
Oleg Golubitsky, Marina Kondratieva, Alexey Ovchinnikov +1
We give the first known bound for orders of differentiations in differential Nullstellensatz for both partial and ordinary algebraic differential equations. This problem was previo…