Timeline for injectivity of torsion submodules of injectives
Current License: CC BY-SA 3.0
7 events
| when toggle format | what | by | license | comment | |
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| Sep 22, 2011 at 5:32 | vote | accept | Fred Rohrer | ||
| Sep 20, 2011 at 7:25 | comment | added | Pham Hung Quy | @ Fred, I think the question should as follows: Let $\frak a$ be an ideal such that Krull intersection holds, $E$ an injective $R$-module. Is the $\frak{a}$-torsion of $E$ injective. Your question may has a relation with mathoverflow.net/questions/75004/… | |
| Sep 20, 2011 at 2:10 | comment | added | Fred Rohrer | Dear Quy, thank you for your now extended and even more interesting answer. To say it explicitly: you construct a ring without the ITR-property. One might note that this local ring has bounded torsion with respect to its maximal ideal but nevertheless fails to have ITR with respect to this ideal. | |
| Sep 19, 2011 at 7:33 | history | edited | Pham Hung Quy | CC BY-SA 3.0 |
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| Sep 19, 2011 at 7:28 | history | edited | Pham Hung Quy | CC BY-SA 3.0 |
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| Sep 19, 2011 at 7:12 | history | edited | Pham Hung Quy | CC BY-SA 3.0 |
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| Sep 18, 2011 at 19:39 | history | answered | Pham Hung Quy | CC BY-SA 3.0 |