# Category:Additive Functions

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This category contains results about **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:

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

## Subcategories

This category has the following 4 subcategories, out of 4 total.

## Pages in category "Additive Functions"

The following 7 pages are in this category, out of 7 total.