Homology, Homotopy and Applications
Volume 7 (2005)
Strict modules and homotopy modules in stable homotopy
Pages: 39 – 49
Let $R$ be any associative ring with unit and let $HR$ denote the corresponding Eilenberg-Mac Lane spectrum. We show that the category of algebras over the monad $X \mapsto HR \wedge X$ on the homotopy category of spectra is equivalent to the homotopy category associated to a model category of $HR$-module spectra, if the ring $R$ is a field or a subring of the rationals, but not for all rings.
ring spectrum, module spectrum, derived category
2010 Mathematics Subject Classification
Primary 55P43. Secondary 18E30, 55P42.