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The Bousfield lattice for truncated polynomial algebras

Authors :
John H. Palmieri
William G. Dwyer
Source :
Homology, Homotopy and Applications. 10:413-436
Publication Year :
2008
Publisher :
International Press of Boston, 2008.

Abstract

The global structure of the unbounded derived category of a truncated polynomial ring on countably many generators is investigated, via its Bousfield lattice. The Bousfield lattice is shown to have cardinality larger than that of the real numbers, and objects with large tensor-nilpotence height are constructed.

Subjects

Subjects :
Discrete mathematics
Derived category
Pure mathematics
Polynomial ring
Commutative ring
Mathematics::Algebraic Topology
Matrix polynomial
Mathematics (miscellaneous)
Mathematics::Category Theory
Lattice (order)
Global structure
Bousfield localization
Real number
Mathematics

Details

ISSN :
15320081 and 15320073
Volume :
10
Database :
OpenAIRE
Journal :
Homology, Homotopy and Applications
Accession number :
edsair.doi...........1b92fa245a0318577594d0d58abb112e

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