Timeline for Local property of split exact sequence
Current License: CC BY-SA 3.0
8 events
when toggle format | what | by | license | comment | |
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Jun 14, 2017 at 12:48 | comment | added | Jeremy Rickard | @CountDracula Sorry, I read your comment just before I went to bed, and forgot to say thank you for pointing out my silly mistake. | |
Jun 14, 2017 at 10:09 | history | edited | Jeremy Rickard | CC BY-SA 3.0 |
added abelian group example
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Jun 14, 2017 at 0:56 | comment | added | Jian | @JeremyRickard thank you!the answer is very clear and correct ,I'll try to understand finiteness condition. | |
Jun 14, 2017 at 0:55 | vote | accept | Jian | ||
Jun 13, 2017 at 21:53 | history | edited | Jeremy Rickard | CC BY-SA 3.0 |
deleted 232 characters in body
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Jun 13, 2017 at 21:50 | comment | added | Jeremy Rickard | @CountDracula Quite right. But finitely generated flat modules over a local ring are projective, which is enough for a counterexample for a non-Noetherian ring. I'll correct it. | |
Jun 13, 2017 at 20:59 | comment | added | Count Dracula | It is not true that a flat module over a local ring is projective. Projective modules over local rings are free, but flat ones aren't... for example the rationals over the locazation of the integers at a prime. | |
Jun 13, 2017 at 16:09 | history | answered | Jeremy Rickard | CC BY-SA 3.0 |