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Thick subcategories of modules over commutative noetherian rings (with an appendix by Srikanth Iyengar)

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Abstract

For a commutative noetherian ring A, we compare the support of a complex of A-modules with the support of its cohomology. This leads to a classification of all full subcategories of A-modules which are thick (that is, closed under taking kernels, cokernels, and extensions) and closed under taking arbitrary direct sums. In addition, subcategories of A-modules that are closed under taking submodules, extensions, and direct unions are classified via associated prime ideals.

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  1. Institut für Mathematik, Universität Paderborn, 33095, Paderborn, Germany

    Henning Krause

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  1. Henning Krause
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Correspondence to Henning Krause.

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Krause, H. Thick subcategories of modules over commutative noetherian rings (with an appendix by Srikanth Iyengar). Math. Ann. 340, 733–747 (2008). https://doi.org/10.1007/s00208-007-0166-3

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  • DOI: https://doi.org/10.1007/s00208-007-0166-3

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