Homological dimensions of ring spectra
Algebraic Topology
2010-01-07 v1 Commutative Algebra
Rings and Algebras
Abstract
We define homological dimensions for S-algebras, the generalized rings that arise in algebraic topology. We compute the homological dimensions of a number of examples, and establish some basic properties. The most difficult computation is the global dimension of real K-theory KO and its connective version ko at the prime 2. We show that the global dimension of KO is 1, 2, or 3, and the global dimension of ko is 4 or 5.
Cite
@article{arxiv.1001.0902,
title = {Homological dimensions of ring spectra},
author = {Mark Hovey and Keir Lockridge},
journal= {arXiv preprint arXiv:1001.0902},
year = {2010}
}
Comments
16 pages