31 citations · 59 across the 3 of their papers we have counts for
3 papers
math.RT2007★ 31 cited
Tannakian categories, linear differential algebraic groups, and parameterized linear differential equations
Alexey Ovchinnikov
We provide conditions for a category with a fiber functor to be equivalent to the category of representations of a linear differential algebraic group. This generalizes the notion…
math.AC2007★ 13 cited
Bounds for algorithms in differential algebra
Oleg Golubitsky, Marina Kondratieva, Marc Moreno Maza +1
We consider the Rosenfeld-Groebner algorithm for computing a regular decomposition of a radical differential ideal generated by a set of ordinary differential polynomials in n inde…
math.AC2007★ 15 cited
Canonical Characteristic Sets of Characterizable Differential Ideals
Oleg Golubitsky, Marina Kondratieva, Alexey Ovchinnikov
We study the concept of canonical characteristic set of a characterizable differential ideal. We propose an efficient algorithm that transforms any characteristic set into the cano…