First steps in brave new commutative algebra

Details First steps in brave new commutative algebra First steps in brave new commutative algebra

2006-09-15

arxiv.org/abs/math/0609453v1

Mathematics

Algebraic Topology

To appear in the proceedings of the summer school "Interactions between homotopy theory and algebra" (Chicago, 2004)

Scientific paper

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.

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