The homotopy category of complexes of projective modules
Abstract
The homotopy category of complexes of projective left-modules over any reasonably nice ring is proved to be a compactly generated triangulated category, and a duality is given between its subcategory of compact objects and the finite derived category of right-modules.
- Publication:
-
arXiv Mathematics e-prints
- Pub Date:
- December 2003
- DOI:
- arXiv:
- arXiv:math/0312088
- Bibcode:
- 2003math.....12088J
- Keywords:
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- Rings and Algebras;
- Category Theory;
- 18E30;
- 16D40
- E-Print:
- 10 pages