The Bousfield lattice for truncated polynomial algebras

2008/02/11 by W. G. Dwyer, Dwyer, W. G., John H. Palmieri +2 · 1 citation
Mathematics · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #Homotopy and Cohomology in Algebraic Topology #math.AC #math.AT #msc:13D07 #msc:13D25 #msc:18E30 #msc:55U35

paper · pdf · doi:10.48550/arxiv.0802.1509

arxiv created 2008/02/11 · arxiv updated 2009/12/01

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.

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