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Explicit Cogenerators for the Homotopy Category of Projective Modules over a Ring

Neeman, Amnon

Description

Let R be a ring. In two previous articles [12, 14] we studied the homotopy category K(R-Proj) of projective R-modules. We produced a set of generators for this category, proved that the category is N1-compactly generated for any ring R, and showed that it need not always be compactly generated, but is for sufficiently nice R We furthermore analyzed the inclusion j!: K(R-Proj) → K(R-Flat) and the orthogonal subcategory & = K(R-Proj). And we even showed that the inclusion & → K(R-Flat) has a...[Show more]

CollectionsANU Research Publications
Date published: 2011
Type: Journal article
URI: http://hdl.handle.net/1885/59610
Source: Annales Scientifiques de l'Ecole Normale Superieure

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