# Category:Modulo Multiplication

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This category contains results about Modulo Multiplication.

Definitions specific to this category can be found in Definitions/Modulo Multiplication.

Let $m \in \Z$ be an integer.

Let $\Z_m$ be the set of integers modulo $m$:

- $\Z_m = \set {\eqclass 0 m, \eqclass 1 m, \ldots, \eqclass {m - 1} m}$

where $\eqclass x m$ is the residue class of $x$ modulo $m$.

The operation of **multiplication modulo $m$** is defined on $\Z_m$ as:

- $\eqclass a m \times_m \eqclass b m = \eqclass {a b} m$

## Subcategories

This category has the following 5 subcategories, out of 5 total.

### C

### M

### R

## Pages in category "Modulo Multiplication"

The following 15 pages are in this category, out of 15 total.

### M

- Modulo Multiplication Distributes over Modulo Addition
- Modulo Multiplication has Identity
- Modulo Multiplication is Associative
- Modulo Multiplication is Closed
- Modulo Multiplication is Commutative
- Modulo Multiplication is Well-Defined
- Modulo Multiplication is Well-Defined/Warning
- Modulo Multiplication on Reduced Residue System is Cancellable
- Modulo Multiplication on Reduced Residue System is Closed
- Modulo Multiplication/Cayley Table
- Modulo Multiplication/Cayley Table/Modulo 4
- Modulo Multiplication/Cayley Table/Modulo 5
- Modulo Multiplication/Cayley Table/Modulo 6