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5
votes
Intrinsic topology on the Zariski spectrum
New answer, following up on Zhen Lin's comment for the "good" definition of prime filter. Sorry for the confusion!
A prime filter in a ring $A$ is a multiplicatively closed subset $S$ of $A$ (containi …
13
votes
Intrinsic topology on the Zariski spectrum
Let me give the condensed perspective: Regarding $A$ as a discrete condensed ring, I think the structure of the "internal spectrum" is codified by the functor that takes any extremally disconnected pr …