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Journal Article
Homotopical Localizations of Module Spectra
Carles Casacuberta and Javier J. Gutiérrez
Transactions of the American Mathematical Society
Vol. 357, No. 7 (Jul., 2005), pp. 2753-2770
Published
by: American Mathematical Society
https://www.jstor.org/stable/3845180
Page Count: 18
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Topics: Mathematical rings, Commutativity, Functors, Integers, Homotopy theory, Equivalence relation, Monoids, Mathematical theorems, Monads
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Abstract
We prove that stable f-localizations (where f is any map of spectra) preserve ring spectrum structures and module spectrum structures, under suitable hypotheses, and we use this fact to describe all possible localizations of the integral Eilenberg-Mac Lane spectrum HZ. As a consequence of this study, we infer that localizations of stable GEMs are stable GEMs, and it also follows that there is a proper class of nonequivalent stable localizations.
Transactions of the American Mathematical Society
© 2005 American Mathematical Society