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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
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Jun 2, 2010 at 20:05 history edited ressing CC BY-SA 2.5
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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
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Jun 2, 2010 at 19:24 history asked ressing CC BY-SA 2.5