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A remark on the generalized smashing conjecture

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Abstract

Using one of Wodzicki's examples ofH-unital algebras [14] 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 [8, 1.33] and, originally, Bousfield [2, 3.4].

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  1. U.F.R. de Mathématiques U.R.A. 748 du CNRS, Université Paris 7, 2, place Jussieu, 75251, Paris Cedex 05, France

    Bernhard Keller

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  1. Bernhard Keller
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Keller, B. A remark on the generalized smashing conjecture. Manuscripta Math 84, 193–198 (1994). https://doi.org/10.1007/BF02567453

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  • DOI: https://doi.org/10.1007/BF02567453

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