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<p>equipping it with the <a href="page.php?w=Zariski_topology">Zariski topology</a>, the topology for which a closed set is the set of all <a href="page.php?w=prime_ideal">prime ideal</a>s containing a given subset of . In other words, for every subset  of , letThe set of all  form the closed sets of the Zariski topology on  One gets exactly the same closed sets if one restricts the definition to subsets  that are <a href="page.php?w=ideal_%28ring_theory%29">ideal</a>s, since  if , the ideal generated by .  In fact, only radical ideals need to be</p><p>
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