Differential ideal

A differential ideal is a concept from the field of differential algebra, which studies algebraic structures that are equipped with a derivation (a generalization of the idea of differentiation). In this context, a derivation is a unary operation that satisfies the properties of linearity and the Leibniz rule (product rule). ### Definition: A differential ideal is a special type of ideal in a differential ring (a ring equipped with a derivation) that is closed under the action of the derivation.