# Category:Additive Groups of Integers Modulo m

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This category contains results about **Additive Groups of Integers Modulo $m$**.

Definitions specific to this category can be found in **Definitions/Additive Groups of Integers Modulo m**.

Let $m \in \Z$ such that $m > 1$.

The **additive group of integers modulo $m$**, denoted $\struct {\Z_m, +_m}$, is the set of integers modulo $m$ under the operation of addition modulo $m$.

## Subcategories

This category has the following 2 subcategories, out of 2 total.

## Pages in category "Additive Groups of Integers Modulo m"

The following 11 pages are in this category, out of 11 total.

### I

- Integers Modulo m under Addition form Abelian Group
- Integers Modulo m under Addition form Cyclic Group
- Isomorphism between Additive Group Modulo 16 and Multiplicative Group Modulo 17
- Isomorphism between Gaussian Integer Units and Integers Modulo 4 under Addition
- Isomorphism between Roots of Unity under Multiplication and Integers under Modulo Addition