119 citations · 638 across the 44 of their papers we have counts for
3 papers · 1 filter
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…
Differential Tannakian Categories
Alexey Ovchinnikov
We define a differential Tannakian category and show that under a natural assumption it has a fibre functor. If in addition this category is neutral, that is, the target category f…
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…