History of tag 0EUM
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changed the statement and the proof
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2018-08-28 |
36551fa |
weakly normal ---> absolutely weakly normal
The notion of weak normalization in the literature is the one where you
look at birational universal homeomorphisms, whereas we look at all
universal homeomorphisms
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assigned tag 0EUM
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2018-08-27 |
0196c42
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Tags: Added new tags
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created statement with label lemma-seminormal-local-property in morphisms.tex
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2018-08-27 |
92630a9 |
Weak normalization; seminormalization
There are many variants we could consider here. For example, one could
consider a category of pairs (R, T) where R is a ring and T is a subset
of its spectrum and look at universal homeomorphisms R ---> S which
induce isomorphisms at residue fields for primes in T. Then I wouldn't
be surprised if you could carry everything through for these...
Another example is to look at rings over Z_{(p)} and consider universal
homeomorphisms R ---> S inducing an isomorphism R[1/p] ---> S[1/p]. This
sometimes comes up when considering rings of invariants.
Etc, etc, etc.
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