nForum - Search Results Feed (Tag: ideal)2024-06-17T07:15:12+00:00https://nforum.ncatlab.org/
Lussumo Vanilla & Feed Publisher
Prime ideal, provehttps://nforum.ncatlab.org/discussion/13949/2022-03-19T21:48:00+00:002022-03-20T03:14:10+00:00Marek897https://nforum.ncatlab.org/account/3174/
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 ...
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 Filtershttps://nforum.ncatlab.org/discussion/7230/2016-08-09T02:54:42+00:002016-08-27T23:28:26+00:00tyler brysonhttps://nforum.ncatlab.org/account/1517/
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 ...
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.