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Mar 6, 2013 at 10:07 comment added Mikhail Bondarko I'm sorry! I need the connecting morphisms to be dominant, but I forgot to write about this.
Mar 6, 2013 at 9:37 history edited Laurent Moret-Bailly CC BY-SA 3.0
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Mar 6, 2013 at 9:36 comment added Laurent Moret-Bailly I didn't say the morphisms were dominant. That would mean $B$ is the direct limit of its smooth subalgebras, a much stronger condition, it seems. And I know nothing about the non-affine case.
Mar 6, 2013 at 9:09 comment added Mikhail Bondarko Thank you! Are you sure that the connecting morphisms are dominant? Also, do you think that anything is known in the non-affine case?
Mar 6, 2013 at 8:15 history answered Laurent Moret-Bailly CC BY-SA 3.0