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

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dc.contributor.advisorPalmieri, Johnen_US
dc.contributor.authorWolcott, Frank Lucasen_US
dc.date.accessioned2012-09-13T17:40:51Z
dc.date.available2012-09-13T17:40:51Z
dc.date.issued2012-09-13
dc.date.submitted2012en_US
dc.descriptionThesis (Ph.D.)--University of Washington, 2012en_US
dc.description.abstractWe 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.embargo.termsNo embargoen_US
dc.format.mimetypeapplication/pdfen_US
dc.identifier.otherWolcott_washington_0250E_10263.pdfen_US
dc.identifier.urihttp://hdl.handle.net/1773/20908
dc.language.isoen_USen_US
dc.rightsCopyright is held by the individual authors.en_US
dc.subjectmetamathematicsen_US
dc.subject.otherMathematicsen_US
dc.subject.otherMathematicsen_US
dc.titleA Tensor-Triangulated Approach to Derived Categories of Non-Noetherian Ringsen_US
dc.typeThesisen_US

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