Timeline for "Sums-compact" objects = f.g. objects in categories of modules?
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4 events
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Jun 25, 2013 at 3:02 | review | Late answers | |||
Jun 25, 2013 at 23:09 | |||||
Nov 22, 2011 at 15:17 | comment | added | Martin Brandenburg | See the answer by Fernando Muro for the proof that over noetherian rings, sumpact = f.g. | |
Nov 22, 2011 at 13:45 | comment | added | David White | Can you give a reference for your second sentence? I spend a fair amount of time with abelian categories and the only definition of a small object I know is the one on nLab, i.e. $\kappa$-compact for some regular cardinal $\kappa$. This uses filtered colimits rather than coproducts. ncatlab.org/nlab/show/small+object | |
Nov 19, 2011 at 22:38 | history | answered | Anonymous | CC BY-SA 3.0 |