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Jun 22, 2011 at 14:35 comment added David White This is indeed a very nice motivation of flatness. If you wanted even less homological algebra and your students already believed free and projective modules were interesting then I suppose you could introduce flat modules as direct limits of f.g. free modules. After talking about direct summands of free modules, I can't imagine people would be shocked when you asked about direct limits.
Dec 3, 2010 at 8:15 comment added Emerton Dear Long, Thanks for the interesting reference!
Nov 27, 2010 at 20:28 vote accept Pete L. Clark
Nov 19, 2010 at 3:23 comment added Pete L. Clark @Hailong: you can be there as far as I'm concerned. Please feel free to drop by, especially if you don't mind being handed the chalk.
Nov 19, 2010 at 2:05 history answered Hailong Dao CC BY-SA 2.5