Timeline for A question about the assassinator (={associated primes}) and the support of a module.
Current License: CC BY-SA 2.5
8 events
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Jun 3, 2010 at 20:13 | comment | added | ressing | @Karl Schwede: It does, yes. I should have been clearer in my comment in response to Hailong's. | |
Jun 3, 2010 at 8:24 | comment | added | Karl Schwede | So Long's comment answers the question, right? | |
Jun 2, 2010 at 20:12 | history | edited | Harry Gindi | CC BY-SA 2.5 |
edited title
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Jun 2, 2010 at 20:05 | history | edited | ressing | CC BY-SA 2.5 |
deleted 3 characters in body
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Jun 2, 2010 at 20:01 | comment | added | ressing | Thank you, you're right. $\mathfrak{p} \in Ass(N) \implies 0 \rightarrow A/\mathfrak{p} \rightarrow N$ exact $\implies 0 \rightarrow A/\mathfrak{p} \otimes A_{\mathfrak{p}} \rightarrow N \otimes A_{\mathfrak{p}}$ exact $\implies 0 \rightarrow A_{\mathfrak{p}}/{\mathfrak{p}A_{\mathfrak{p}}} \rightarrow N_{\mathfrak{p}}$ exact. Thus $N_{\mathfrak{p}}$ contains a nonzero submodule and so $\mathfrak{p} \in Supp(N)$. | |
Jun 2, 2010 at 19:45 | comment | added | Hailong Dao | Not sure I understand. $Ass(M/xM) \subseteq Supp(M/xM)$, right? | |
Jun 2, 2010 at 19:40 | history | edited | ressing | CC BY-SA 2.5 |
Changed latex formatting in last line; deleted 7 characters in body; deleted 2 characters in body
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Jun 2, 2010 at 19:24 | history | asked | ressing | CC BY-SA 2.5 |