On simplicial commutative algebras with Noetherian homotopy

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dc.creatorTurner, James M
dc.date2002-01-08
dc.date.accessioned2026-07-07T04:45:45Z
dc.date.available2026-07-07T04:45:45Z
dc.descriptionIn this paper, a strategy is developed studying a simplicial commutative algebra A whose zeroth homotopy group is a Noetherian ring B and whose higher homotopy groups are finite over B. The strategy replaces A with a connected simplicial supplemented k(q)-algebra, for each prime ideal q in B, which preserves much of the Andre-Quillen homology of A. The methods for this construction involves a mixture of methods of homotopy theory (e.g. Postnikov towers) with methods of commutative algebras (e.g. completions, Cohen factorizations). We finish by indicating how these methods resolve a more general form of a conjecture posed by Quillen.
dc.description10 pages
dc.identifierhttps://arxiv.org/abs/math/0201063
dc.identifierhttp://arxiv.org/abs/math/0201063
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/63070
dc.subjectCommutative Algebra
dc.subjectAlgebraic Geometry
dc.subjectAlgebraic Topology
dc.subject13D03, 13D05, 18G30, 55S45, 55U99
dc.titleOn simplicial commutative algebras with Noetherian homotopy
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