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Please use this identifier to cite or link to this item: http://hdl.handle.net/1807/9837

Title: Power series rings and projectivity
Authors: Buchweitz, Ragnar-Olaf
Flenner, Hubert
Issue Date: 2-Dec-2005
Publisher: Springer-Verlag
Citation: Manuscripta math, 119 (1),107–114
Abstract: We show that a formal power series ring A[[X]] over a noetherian ring A is not a projective module unless A is artinian. However, if (A,m) is any local ring, then A[[X]] behaves like a projective module in the sense that Extp A(A[[X]],M) = 0 for allm-adically complete A-modules. The latter result is shown more generally for any flat A-module B instead of A[[X]]. We apply the results to the (analytic) Hochschild cohomology over complete noetherian rings.
URI: http://hdl.handle.net/1807/9837
Appears in Collections:Mathematics

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