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Post Closed as "too localized" by Robin Chapman, Pete L. Clark, Wadim Zudilin, Martin Brandenburg, Mariano Suárez-Álvarez
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François G. Dorais
François G. Dorais
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Mximal Ideals Maximal ideals and ultrafilters

Hi, II am not sure about thisthese two definitions. forFor example, if we take the power set of A={1,2,3)} with the partial order of inclutioninclusion. WhoWhat are the maximal ideals and whowhat are the maximal filters? forFor example, can a subset of P(A) be a maximal ideal without containing the empty set as an item? Thanx!

Mximal Ideals and ultrafilters

Hi, I am not sure about this two definitions. for example, if we take the power set of A={1,2,3) with the partial order of inclution. Who are the maximal ideals and who are the maximal filters? for example, can a subset of P(A) be a maximal ideal without containing the empty set as an item? Thanx!

Maximal ideals and ultrafilters

I am not sure about these two definitions. For example, if we take the power set of A={1,2,3} with the partial order of inclusion. What are the maximal ideals and what are the maximal filters? For example, can a subset of P(A) be a maximal ideal without containing the empty set as an item?

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tali
tali
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Mximal Ideals and ultrafilters

Hi, I am not sure about this two definitions. for example, if we take the power set of A={1,2,3) with the partial order of inclution. Who are the maximal ideals and who are the maximal filters? for example, can a subset of P(A) be a maximal ideal without containing the empty set as an item? Thanx!