Resolvent representation for regular differential ideals (Q1566397)

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.