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Title: Homotopical localizations of module spectra
Author: Casacuberta, Carles
Gutiérrez Marín, Javier J.
Keywords: Teoria de l'homotopia
Homotopy theory
Issue Date: 23-Sep-2005
Publisher: American Mathematical Society (AMS)
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-MacLane spectrum $H{\mathbb{Z} }$. 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.
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It is part of: Transactions of the American Mathematical Society, 2005, vol. 357, num. 7, p. 2753-2770
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ISSN: 0002-9947
Appears in Collections:Articles publicats en revistes (Matemàtiques i Informàtica)

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