Modular arithmetic: Difference between revisions

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m Integers modulo m: + WP link.
m Integers modulo m: Ce: rm unnecessary \left etc.
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For {{math|''m'' > 0}} one has
: <math>\mathbb{Z}/m\mathbb{Z} = \left\{ \overline{a}_m \mid a \in \mathbb{Z}\right\} = \left\{ \overline{0}_m, \overline{1}_m, \overline{2}_m,\ldots, \overline{m{-}1}_m \right\}.</math>
 
When {{math|1=''m'' = 1}}, <math>\mathbb{Z}/m\mathbb{Z}</math> is the [[zero ring]]; when {{math|1=''m'' = 0}}, <math>\mathbb{Z}/m\mathbb{Z}</math> is not an [[empty set]]; rather, it is [[isomorphism|isomorphic]] to <math>\mathbb{Z}</math>, since {{math|1={{overline|''a''}}<sub>0</sub> = {{mset|''a''}}}}.