Work

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

Year: 2012

Type: dissertation

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.

Source: ResearchWorks at the University of Washington (University of Washington)

Author: Frank Lucas Wolcott

Language: English

Topic: Algebraic structures and combinatorial models

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funder: University of Washington

OpenAlex ID: W2523410465

Cites: 48

Cited by: 3

Related to: 10