Comodules and Landweber exact homology theories

dc.creatorHovey, Mark
dc.creatorStrickland, Neil
dc.date2003-01-21
dc.date.accessioned2026-07-07T04:54:35Z
dc.date.available2026-07-07T04:54:35Z
dc.descriptionWe show that, if E is a Landweber exact ring spectrum, then the category of E_*E-comodules is equivalent to the localization of the category of BP_*BP-comodules with respect to the hereditary torsion theory of v_n-torsion comodules, where n is the height of E. In particular, the category of E(n)_*E(n)-comodules is equivalent to the category of (v_n^{-1}BP)_*(v_n^{-1}BP)-comodules. We also prove structure theorems for E_*E-comodules; we show every E_*E-comodule has a primitive, we classify the invariant radical ideals, and we prove a version of the Landweber filtration theorem.
dc.description24 pages
dc.identifierhttps://arxiv.org/abs/math/0301232
dc.identifierhttp://arxiv.org/abs/math/0301232
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/66312
dc.subjectAlgebraic Topology
dc.subject55N22
dc.titleComodules and Landweber exact homology theories
dc.typetext

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