Category:Definitions/Additive Functions

This category contains definitions related to Additive Functions.
Related results can be found in Category:Additive Functions.

Let $f: S \to S$ be a mapping on an algebraic structure $\struct {S, +}$.

Then $f$ is an additive function if and only if it preserves the addition operation:

$\forall x, y \in S: \map f {x + y} = \map f x + \map f y$