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First steps in brave new commutative algebra

Greenlees, J.P.C. (2007) First steps in brave new commutative algebra. In: Avramov, L.L., Christensen, J.D., Dwyer, W.G., Mandell, M.A. and Shipley, B.E., (eds.) Interactions Between Homotopy Theory and Algebra. Summer School on Interactions between Homotopy Theory and Algebra, July 26 - August 6 2004, University of Chicago, USA. Contemporary Mathematics, 436 . American Mathematical Society , pp. 239-276. ISBN 0-8218-3814-8


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This is an expository account of completion and local cohomology in brave new commutative algebra, especially as it applies to completion theorems and their duals in equivariant topology. The first part is fairly direct, but the second considers Morita theory and Gorenstein ring spectra. This draws on work of the author with Benson, Dwyer, Iyengar and May, amongst others.

Item Type: Proceedings Paper
Institution: The University of Sheffield
Academic Units: The University of Sheffield > Faculty of Science (Sheffield) > School of Mathematics and Statistics (Sheffield)
Depositing User: Beccy Shipman
Date Deposited: 24 Feb 2009 18:30
Last Modified: 16 Nov 2015 11:48
Published Version: http://www.ams.org/bookstore?fn=20&arg1=conmseries...
Status: Published
Publisher: American Mathematical Society
Related URLs:
URI: http://eprints.whiterose.ac.uk/id/eprint/7808

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