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 |