The ghost and weak dimensions of rings and ring spectra
Algebraic Topology
2009-04-13 v2 Rings and Algebras
Abstract
The primary object of this paper is to prove the conjecture of the authors from a previous paper, explaining how to recover the weak dimension of a ring from its derived category. In the process, we develop a theory of weak dimension, which we call ghost dimension, for the generalized rings, known as ring spectra, that arise in algebraic topology.
Keywords
Cite
@article{arxiv.0903.4659,
title = {The ghost and weak dimensions of rings and ring spectra},
author = {Mark Hovey and Keir Lockridge},
journal= {arXiv preprint arXiv:0903.4659},
year = {2009}
}