Homology, Homotopy and Applications

Volume 16 (2014)

Number 2

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

Pages: 205 – 229

DOI: https://dx.doi.org/10.4310/HHA.2014.v16.n2.a11

Author

F. Luke Wolcott (Department of Mathematics, Lawrence University, Appleton, Wisconsin, U.S.A.)

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 to new non-Noetherian rings.

Keywords

Bousfield lattice, non-Noetherian, derived category

2010 Mathematics Subject Classification

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

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Published 30 November 2014