Homological dimensions of ring spectra
by Mark Hovey and Keir Lockridge
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.