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Thick subcategories of modules over commutative rings

By Henning Krause

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 direct sums

Topics: Mathematics - Commutative Algebra, Mathematics - Rings and Algebras
Year: 2007
OAI identifier: oai:arXiv.org:math/0703158

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