3 problems

Algebraic-to-Ritt conjecture. If one can solve the problem of computing a characteristic decomposition of a radical differential ideal from generators completely algebraically—by f…

Let $\mathcal{I}=\operatorname{sat}(\mathcal{A})$ be a prime differential ideal in the differential polynomial ring $\mathcal{F}\{y_1,\ldots,y_n\}$, where $\mathcal{A}$ is a charac…

Definability of primality. For every $d$ there exists $r=r(d,n,m)$ such that, for every such $k$ and $S$, the following are equivalent: (i) $\{S\}$ is prime; (ii) $\{S\}$ is proper…