Timeline for Do certain maps between f.g. $\mathbb{C}$-algebras factor through a local (and f.g.) algebra?
Current License: CC BY-SA 3.0
8 events
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| Jun 16, 2020 at 14:56 | comment | added | Mendieta | Interesting that this has some kind of relation with topos theory. Anyway, the published version of the paper is also freely downloadable from the journal's webpage. cahierstgdc.com/index.php/volume-lx | |
| Jun 10, 2020 at 18:11 | comment | added | YCor | PS this answer is quoted in the paper "<i>Level $\epsilon</i>" by Francisco Marmolejo, Matías Menni, arxiv.org/abs/1909.12757 | |
| Mar 1, 2018 at 23:28 | vote | accept | Mendieta | ||
| Mar 1, 2018 at 13:43 | history | edited | YCor | CC BY-SA 3.0 |
added answer to OP's request
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| Mar 1, 2018 at 13:31 | comment | added | Mendieta | This is exactly the thing I was looking for. I hope you don't mind me requesting some further (possibly naive) details of your proof. The argument shows that the composite ${A \rightarrow B \rightarrow B/R}$ factors as $\require{AMScd}$ \begin{CD} A @>>> \mathbb{C} \\ @V f V V= @VV V\\ B @>>> B/R \end{CD} Why is it that you can conclude that ${f(A)}$ is local and Artinian? (I realise that this may be a triviality but sometimes very simple commutative-algebraic facts ellude me. In this case, a pointer to the right place in Atiyah-MacDonald would be enough.) | |
| Mar 1, 2018 at 13:09 | history | edited | YCor | CC BY-SA 3.0 |
fixed characterization 3
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| Mar 1, 2018 at 13:05 | comment | added | YCor | PS: I realize that Part (1) of the proof precisely amounts to proving the claim in @JohannesHahn's comment. | |
| Mar 1, 2018 at 8:21 | history | answered | YCor | CC BY-SA 3.0 |