Geodesic
Homological dimensions of ring spectra
Homology, homotopy, and applications, Tome 15 (2013) no. 2, pp. 53-71.

Voir la notice de l'article provenant de la source International Press of Boston

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 2 or 3, and the global dimension of $ko$ is 4 or 5.
DOI : 10.4310/HHA.2013.v15.n2.a3
Classification : 16E10, 18E30, 55P43
Keywords: ring spectrum, global dimension 
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Mark Hovey; Keir Lockridge. Homological dimensions of ring spectra. Homology, homotopy, and applications, Tome 15 (2013) no. 2, pp. 53-71. doi : 10.4310/HHA.2013.v15.n2.a3. http://geodesic.mathdoc.fr/articles/10.4310/HHA.2013.v15.n2.a3/

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