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Timeline for Free resolution dimension?

Current License: CC BY-SA 2.5

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Jun 8, 2010 at 10:51 history edited Akhil Mathew CC BY-SA 2.5
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Jun 8, 2010 at 0:31 comment added t3suji On the other hand, if you remove the finite-generatedness assumption, then every projective module has a free resolution of length two (if P is a direct summand of a free module F, then P+(infinitely many copies of F) is free). Therefore, in this case, the difference between projective dimension and `free dimension' is at most one.
Jun 7, 2010 at 23:52 history answered Akhil Mathew CC BY-SA 2.5