4.6 Article

The homotopy category of complexes of projective modules

Journal

ADVANCES IN MATHEMATICS
Volume 193, Issue 1, Pages 223-232

Publisher

ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.aim.2004.05.003

Keywords

coherent ring; flat module; projective dimension; compactly generated triangulated category; derived category; dualizing complex

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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. (c) 2004 Elsevier Inc. All rights reserved.

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