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Springer Verlag, Israel Journal of Mathematics, 1(182), p. 31-46

DOI: 10.1007/s11856-011-0022-8

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The ghost and weak dimensions of rings and ring spectra

Journal article published in 2009 by Mark Hovey, Keir Lockridge
This paper is available in a repository.
This paper is available in a repository.

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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.