A Question about Differential Ideals
Eloise Hamann
Abstract
The paper investigates the converse to the following theorem. Let R be a differential domain R which is finitely generated over a differential field F whose field of constants is algebraically closed of characteristic 0. If R has no proper nonzero differential ideals, then the quotient field, E, of R has no new constants. The converse is false, but a question was raised about the existence of a finitely generated extension of R within E which has no proper nonzero differential ideals when E has no new constants. This posted paper gives one example to show this is false and two limited positive results in Krull dimension one or two.
Create a lesson
Related papers
On the Stable category of maximal Cohen-Macaulay modules over Gorenstein rings-II
Tony J. Puthenpurakal
Symbolic powers of the ideal ofn general points in Pn-1
Ralf Fröberg, Boris Shapiro
Density functions for filtrations of graded ideals
Suprajo Das, Hoang Le Truong
Finitistic injective dimension exceeding finitistic projective dimension for a commutative ring
Liang Chen
A criterion for determinantal presentations of numerical semigroup rings
Satoshi Murai, Kou Takahashi
Normality of ideals beyond the standard graded setting: families from numerical semigroup rings
Naoyuki Matsuoka