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

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dc.contributor.advisor Palmieri, John en_US Wolcott, Frank Lucas en_US 2012-09-13T17:40:51Z 2012-09-13T17:40:51Z 2012-09-13 2012 en_US
dc.identifier.other Wolcott_washington_0250E_10263.pdf en_US
dc.description Thesis (Ph.D.)--University of Washington, 2012 en_US
dc.description.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. en_US
dc.format.mimetype application/pdf en_US
dc.language.iso en_US en_US
dc.rights Copyright is held by the individual authors. en_US
dc.subject metamathematics en_US
dc.subject.other Mathematics en_US
dc.subject.other Mathematics en_US
dc.title A Tensor-Triangulated Approach to Derived Categories of Non-Noetherian Rings en_US
dc.type Thesis en_US
dc.embargo.terms No embargo en_US

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