Thick subcategories of modules over commutative noetherian rings (with an appendix by Srikanth Iyengar) |
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Authors: | Henning Krause |
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Affiliation: | 1. Institut für Mathematik, Universit?t Paderborn, 33095, Paderborn, Germany
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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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