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April 29th, 2009, 08:49 PM   #1
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Spec(R), dense points

A point P in a topology for a set is called dense if P is contained in every non-empty open set of the topology. Alternatively, the closure of equals .

Find and prove a necessary and sufficient condition for to have a dense point. The condition should related to the nilradical. How many dense points can have?

I am not seeing how to approach this problem right now. Any helpful hints will be very greatly appreciated. Thank you.
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