Timeline for A ring on which all finitely generated projectives modules are free but not all projectives are free?
Current License: CC BY-SA 2.5
5 events
| when toggle format | what | by | license | comment | |
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| Apr 3, 2010 at 7:13 | comment | added | Michel Hebert | (Answering Somnath Basu's question) Not really. My motivation is that I am trying to define a "categorically sound" definition of a "finitely related" algebra, i.e., one which is preserved under categorical equivalences. A first proposal would be the direct sum of a projective and a finitely presentable, but a better concept would be the retracts of those. I was curious to know when they are the same. Michel Hebert | |
| Apr 2, 2010 at 5:41 | vote | accept | Michel Hebert | ||
| Apr 1, 2010 at 21:19 | comment | added | Somnath Basu | Just curious - Is this motivated by the Quillen-Suslin theorem which says that every projective module over $k[x_1,\ldots,x_n]$, where $k$ is a PID, is free? | |
| Apr 1, 2010 at 21:19 | answer | added | Georges Elencwajg | timeline score: 35 | |
| Apr 1, 2010 at 20:27 | history | asked | Michel Hebert | CC BY-SA 2.5 |