A Tensor-Triangulated Approach to Derived Categories of Non-Noetherian Rings

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A Tensor-Triangulated Approach to Derived Categories of Non-Noetherian Rings

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Title: A Tensor-Triangulated Approach to Derived Categories of Non-Noetherian Rings
Author: Wolcott, Frank Lucas
Abstract: We investigate the subcategories and Bousfield lattices of derived categories of general commutative rings, extending previous work done under a Noetherian hypothesis. Maps between rings R → S induce adjoint functors between unbounded derived categories D(R) → D(S), and we explore the induced relationships between thick and localizing subcategories, and Bousfield lattices. Several specific non-Noetherian rings are studied in depth. We also contextualize these results within the human dimension in which they occurred.
Description: Thesis (Ph.D.)--University of Washington, 2012
URI: http://hdl.handle.net/1773/20908
Author requested restriction: No embargo

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