Resolvent representation for regular differential ideals
The authors provide a proof that the generic zeros of a differential ideal defined by a differential chain are birationally equivalent to the general zeros of a single regular differential polynomial, improving \textit{J. F. Ritt}'s resolvent theorem [cf. Differential algebra, Am. Math. Soc. (1950; Zbl 0037.18402)]. The result also generalizes the cyclic vector construction for a system of linear differential equations and also the rational univariate representation of algebraic zero dimensional radical ideals. Their methods of proof extend some results on differential dimension and relative order.
scientific article; zbMATH DE number 1922445