Hasse–Schmidt derivation

The Hasse–Schmidt derivation is a concept in the field of algebra, specifically within the context of algebraic geometry and commutative algebra. This derivation is a type of differential operator that is used to define a structure on a ring, typically a local ring (often of functions), that allows for the notion of derivation (i.e., differentiation) in a way that is compatible with the algebraic structure of the ring.