Timeline for Is a localization of a reduced finitely generated algebra analytically unramified?
Current License: CC BY-SA 3.0
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Jun 15, 2020 at 7:27 | history | edited | CommunityBot |
Commonmark migration
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Nov 26, 2017 at 23:14 | comment | added | David Benjamin Lim | Perhaps you can add a quick proof for Theorem 1 as follows. I'll show that R_0 + S_1 implies reduced. For any ring $A$, we know that $A \hookrightarrow \prod_{\mathfrak{p} \in \text{Ass}(A)} A_{\mathfrak{p}}$. However S_1 implies that this is a product over minimal primes, and then R_0 implies that each $A_{\mathfrak{p}}$ is a field. Therefore $A$ injects into a (finite) product of fields and so is reduced. | |
Nov 26, 2017 at 16:29 | vote | accept | Mikhail | ||
Nov 26, 2017 at 0:24 | history | edited | gdb | CC BY-SA 3.0 |
deleted 6 characters in body
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S Nov 25, 2017 at 23:42 | history | suggested | nfdc23 | CC BY-SA 3.0 |
made IV_2 have better-looking subscripts (three times), and inserted excellence reference in Matsumura's other book.
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Nov 25, 2017 at 23:41 | review | Suggested edits | |||
S Nov 25, 2017 at 23:42 | |||||
Nov 25, 2017 at 23:18 | history | edited | gdb | CC BY-SA 3.0 |
deleted 8 characters in body
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Nov 25, 2017 at 23:11 | history | answered | gdb | CC BY-SA 3.0 |