nForum - Search Results Feed (Tag: ideal) 2023-02-07T04:49:28+00:00 https://nforum.ncatlab.org/ Lussumo Vanilla & Feed Publisher Prime ideal, prove https://nforum.ncatlab.org/discussion/13949/ 2022-03-19T21:48:00+00:00 2022-03-20T03:14:10+00:00 Marek897 https://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? ]]>
Reference--result quoted on nLab page for Filters https://nforum.ncatlab.org/discussion/7230/ 2016-08-09T02:54:42+00:00 2016-08-27T23:28:26+00:00 tyler bryson https://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.

Much obliged,
Tyler Bryson ]]>