Triangulations of projective modules

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dc.creatorHovey, Mark
dc.creatorLockridge, Keir H.
dc.date2007-04-26
dc.date.accessioned2026-07-07T07:58:31Z
dc.date.available2026-07-07T07:58:31Z
dc.descriptionWe show that the category of projective modules over a graded commutative ring admits a triangulation with respect to module suspension if and only if the ring is a finite product of graded fields and exterior algebras on one generator over a graded field (with a unit in the appropriate degree). We also classify the ungraded commutative rings for which the category of projective modules admits a triangulation with respect to the identity suspension. Applications to two analogues of the generating hypothesis in algebraic topology are given, and we translate our results into the setting of modules over a symmetric ring spectrum or S-algebra.
dc.description15 pages
dc.identifierhttps://arxiv.org/abs/0704.3633
dc.identifierhttp://arxiv.org/abs/0704.3633
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/128037
dc.subjectCommutative Algebra
dc.subjectAlgebraic Topology
dc.subjectRepresentation Theory
dc.subject18E30;55P43;16L60
dc.titleTriangulations of projective modules
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