Neeman's characterization of K(R-Proj) via Bousfield localization
Representation Theory
2017-04-04 v1 Rings and Algebras
Abstract
Let be an associative ring with unit and denote by the homotopy category of complexes of projective left -modules. Neeman proved the theorem that is -compactly generated, with the category of left bounded complexes of finitely generated projective -modules providing an essentially small class of such generators. Another proof of Neeman's theorem is explained, using recent ideas of Christensen and Holm, and Emmanouil. The strategy of the proof is to show that every complex in vanishes in the Bousfield localization
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Cite
@article{arxiv.1704.00233,
title = {Neeman's characterization of K(R-Proj) via Bousfield localization},
author = {Xianhui Fu and Ivo Herzog},
journal= {arXiv preprint arXiv:1704.00233},
year = {2017}
}
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5 pages