* Zariski spectra for rings with topology
@ 2003-05-01 10:40 Steve Vickers
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From: Steve Vickers @ 2003-05-01 10:40 UTC (permalink / raw)
To: categories
If R is a ring (commutative, with 1), there is a certain sense in which
the structure sheaf, a local homeomorphism E -> Spec(R) (making the
Zariski spectrum a local ringed space) is the free local ring over R.
Can this be made to work more generally for localic rings R? (Other than
in trivial ways, by taking the set of points of R.) Or for particular
classes of localic rings (e.g. compact regular)? Is there a Zariski
spectrum? Presumably the analogue of the structure sheaf would not be a
local homeomorphism any more.
Steve Vickers.
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2003-05-01 10:40 Zariski spectra for rings with topology Steve Vickers
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