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Prime ideal, prove
https://nforum.ncatlab.org/discussion/13949/
https://nforum.ncatlab.org/discussion/13949/Sat, 19 Mar 2022 17:48:00 -0400Marek897
I have that R be the set of complex polynomials in one variable, f(0) = f(1). We consider subset I_a of R consisting of polynomials vanishing at a point a∉{0,1} how I can prove that is it a prime ideal? and the set of polynomials vanishing at 0 and 1 why is also a prime ideal? How I can prove it?
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Reference--result quoted on nLab page for Filters
https://nforum.ncatlab.org/discussion/7230/
https://nforum.ncatlab.org/discussion/7230/Mon, 08 Aug 2016 22:54:42 -0400tyler bryson
The present nLab page for Filter (https://ncatlab.org/nlab/show/filter) claims the following:

"If L is a complete join-semilattice, then Filters(L) is a complete lattice."

I don't see how this is true and no reference is given. Can someone shed light on this? After two days with it, I suspect this is a typo...but am not sure.