A remark on the generalized smashing conjecture

A REMARK ON THE GENERALIZED SMASHING CONJECTURE

Manuscripta Mathematica 84 (1994), 193-198

Bernhard Keller

Using one of Wodzicki's examples of H-unital algebras we exhibit a ring whose derived category contains a smashing subcategory which is not generated by small objects. This disproves the generalization to arbitrary triangulated categories of a conjecture due to Ravenel and, originally, Bousfield.

http://www.math.jussieu.fr/~keller/publ/smashabs.html

Bernhard Keller, le 9 juin 2003.
keller@math.jussieu.fr
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