Thick subcategories of modules over commutative rings

Details Thick subcategories of modules over commutative rings Thick subcategories of modules over commutative rings

2007-03-06

arxiv.org/abs/math/0703158v1

Mathematics

Commutative Algebra

Scientific paper

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.

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