Symbols:Abstract Algebra/Modulo Multiplication
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Modulo Multiplication
- $\times_m$ or $\cdot_m$
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:
- $\eqclass a m \times_m \eqclass b m = \eqclass {a b} m$
The $\LaTeX$ code for \(\times_m\) is \times_m
.
The $\LaTeX$ code for \(\cdot_m\) is \cdot_m
.