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• CommentRowNumber1.
• CommentAuthorzskoda
• CommentTimeApr 30th 2011
• CommentRowNumber2.
• CommentAuthorUrs
• CommentTimeApr 30th 2011

I have edited it a bit. We need an entry closed morphism, then.

• CommentRowNumber3.
• CommentAuthorzskoda
• CommentTimeApr 30th 2011

Universally closed morphisms are in KR 6.8.1 interpreted in terms of formal $M_v$-smoothness in the sense of 6.3 and for a specific class $M_v$ related to valuation rings. Similarly for properness and separatedness. This is just a reinterpretation of the valuative criteria of Chevalley in the generality of EGA II. So I created entries EGA II, valuative criterion of separatedness and valuative criterion of properness. For the latter cf. also the diagram at wikipedia proper morphism.

• CommentRowNumber4.
• CommentAuthorUrs
• CommentTimeApr 30th 2011

Thanks. I have to run now. Will try to look at this later.