Post Closed as "too localized" by Robin Chapman, Pete L. Clark, Wadim Zudilin, Martin Brandenburg, Mariano Suárez-Alvarez

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Mximal Ideals Maximal ideals and ultrafilters

Hi,

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

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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!