Category:Examples of Modulo Division
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This category contains examples of Modulo Division.
Let $m \in \Z$ be an integer.
Let $\Z_m$ be the set of integers modulo $m$:
- $\Z_m = \set {0, 1, \ldots, m - 1}$
The operation of division modulo $m$ is defined on $\Z_m$ as:
- $a \div_m b$ equals the integer $q \in \Z_m$ such that $b \times_m q \equiv a \pmod m$
and is possible only if $q$ is unique modulo $m$.
This happens if and only if $a$ and $m$ are coprime.
Subcategories
This category has only the following subcategory.
Pages in category "Examples of Modulo Division"
The following 4 pages are in this category, out of 4 total.