1 citations · 2 across the 6 of their papers we have counts for
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Wronskians form the inverse system of the arcs of a double point
Rida Ait El Manssour, Gleb Pogudin
The ideal of the arc scheme of a double point or, equivalently, the differential ideal generated by the ideal of a double point is a primary ideal in an infinite-dimensional polyno…
From algebra to analysis: new proofs of theorems by Ritt and Seidenberg
Dmitrii Pavlov, Gleb Pogudin, Yury Razmyslov
Ritt's theorem of zeroes and Seidenberg's embedding theorem are classical results in differential algebra allowing to connect algebraic and model-theoretic results on nonlinear PDE…
Elimination of unknowns for systems of algebraic differential-difference equations
Wei Li, Alexey Ovchinnikov, Gleb Pogudin +1
We establish effective elimination theorems for differential-difference equations. Specifically, we find a computable function of the natural number parameters and …
Primitive Element Theorem for Fields with Commuting Derivations and Automorphisms
Gleb Pogudin
We establish a Primitive Element Theorem for fields equipped with several commuting operators such that each of the operators is either a derivation or an automorphism. More precis…