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Finiteness in derived categories of local rings

By W. Dwyer, J.P.C. Greenlees and S. Iyengar

Abstract

New homotopy invariant finiteness conditions on modules over commutative rings are introduced, and their properties are studied systematically. A number of finiteness results for classical homological invariants like flat dimension, injective dimension, and Gorenstein dimension, are established. It is proved that these specialize to give results concerning modules over complete intersection local rings. A noteworthy feature is the use of techniques based on thick subcategories of derived categories.\u

Publisher: European Mathematical Society Publishing House
Year: 2006
OAI identifier: oai:eprints.whiterose.ac.uk:7802

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