arXiv:1301.4485 Abstract | arXiv Analytics

arXiv:1301.4485 [math.AT]Abstract References Reviews Resources

Bousfield lattices of non-Noetherian rings: some quotients and products

Published 2013-01-18, updated 2014-07-14Version 2

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.

Comments: 24 pages. to appear in Homology, Homotopy, and Applications

Categories: math.AT, math.AC, math.CT

Subjects: 18D10, 18E30, 55U35, 13D02, 13D09

Keywords: bousfield lattice, non-noetherian rings, general framework, generated tensor triangulated category, extend results

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