Homotopical localizations of module spectra

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dc.contributor	Universitat de Barcelona
dc.contributor.author	Casacuberta, Carles
dc.contributor.author	Gutiérrez Marín, Javier J.
dc.date	2016-03-15T12:25:43Z
dc.date	2016-03-15T12:25:43Z
dc.date	2005-09-23
dc.date	2016-03-15T12:25:49Z
dc.identifier.citation	0002-9947
dc.identifier.citation	583769
dc.identifier.uri	http://hdl.handle.net/2445/96489
dc.format	18 p.
dc.format	application/pdf
dc.language.iso	eng
dc.publisher	American Mathematical Society (AMS)
dc.relation	Reproducció del document publicat a: http://dx.doi.org/10.1090/S0002-9947-04-03552-4
dc.relation	Transactions of the American Mathematical Society, 2005, vol. 357, num. 7, p. 2753-2770
dc.relation	http://dx.doi.org/10.1090/S0002-9947-04-03552-4
dc.rights	(c) American Mathematical Society (AMS), 2005
dc.rights	info:eu-repo/semantics/openAccess
dc.subject	Teoria de l'homotopia
dc.subject	Homotopy theory
dc.title	Homotopical localizations of module spectra
dc.type	info:eu-repo/semantics/article
dc.type	info:eu-repo/semantics/publishedVersion
dc.description.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.