Timeline for A ring on which all finitely generated projectives modules are free but not all projectives are free?
Current License: CC BY-SA 4.0
4 events
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| Aug 6, 2022 at 19:04 | history | edited | Glorfindel | CC BY-SA 4.0 |
broken link fixed, cf. https://meta.mathoverflow.net/q/5301/70594
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| Apr 2, 2010 at 5:41 | vote | accept | Michel Hebert | ||
| Apr 2, 2010 at 2:56 | comment | added | Manny Reyes | Here's another reason why we expect such rings to be uncommon, but likely to exist. Another result of Kaplansky says that, over any ring, any projective right module is a direct sum of countably generated projective modules. Thus, a ring over which every finitely generated right module is free is, in a sense, "ever so close" to having all projective right modules free! | |
| Apr 1, 2010 at 21:19 | history | answered | Georges Elencwajg | CC BY-SA 2.5 |