{ "id": "1301.4485", "version": "v2", "published": "2013-01-18T20:32:44.000Z", "updated": "2014-07-14T22:18:30.000Z", "title": "Bousfield lattices of non-Noetherian rings: some quotients and products", "authors": [ "F. Luke Wolcott" ], "comment": "24 pages. to appear in Homology, Homotopy, and Applications", "categories": [ "math.AT", "math.AC", "math.CT" ], "abstract": "In the context of a well generated tensor triangulated category, Section 3 investigates the relationship between the Bousfield lattice of a quotient and quotients of the Bousfield lattice. In Section 4 we develop a general framework to study the Bousfield lattice of the derived category of a commutative or graded-commutative ring, using derived functors induced by extension of scalars. Section 5 applies this work to extend results of Dwyer and Palmieri [DP08] to new non-Noetherian rings.", "revisions": [ { "version": "v2", "updated": "2014-07-14T22:18:30.000Z" } ], "analyses": { "subjects": [ "18D10", "18E30", "55U35", "13D02", "13D09" ], "keywords": [ "bousfield lattice", "non-noetherian rings", "general framework", "generated tensor triangulated category", "extend results" ], "note": { "typesetting": "TeX", "pages": 24, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2013arXiv1301.4485W" } } }