Timeline for Decomposition of primes, where the residue field extensions are allowed to be inseparable
Current License: CC BY-SA 2.5
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| Mar 31, 2010 at 0:18 | comment | added | BCnrd | Serre proves that the module-finiteness condition for integral closure holds when the extension of fraction fields is separable, so in the context of the question $S$ is automatically module-finite over $R$. These matters can also be considered from the viewpoint of valuation theory, allowing for the possibility of non-archimedean valuations which are not discretely-valued. See 3.6/5,6 in "Non-archimedean analysis" by Bosch, Guntzer, Remmert. | |
| Mar 31, 2010 at 0:06 | vote | accept | Randy Brown | ||
| Mar 30, 2010 at 23:25 | history | answered | Ari Shnidman | CC BY-SA 2.5 |