Sökning: "dg modules"

Hittade 2 avhandlingar innehållade orden dg modules.

  1. 1. Complexes and Diffrerential Graded Modules

    Författare :Dmitri Apassov; Matematik (naturvetenskapliga fakulteten); []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; algebraic geometry; field theory; Number Theory; fiber of a local homomorphism; DG dualizing module; homological dimensions; differential graded rings; almost finite module; Cohen-Macaulay rings; local homomorphism; Gorenstein rings; annihilator; complex of modules; algebra; group theory; Talteori; fältteori; algebraisk geometri; gruppteori;

    Sammanfattning : The main topic of the thesis is the generalization of some traditional module-theoretic homological applications to complexes of modules and to differential graded modules over differential graded rings. We introduce three possible generalizations of the classical notion of annihilator of an R-module. LÄS MER

  3. 2. Koszul duality for categories and a relative Sullivan-Wilkerson theorem

    Författare :Hadrien Espic; Gregory Arone; Alexander Berglund; Bjørn Dundas; Stockholms universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Koszul duality; categories; Yoneda algebra; operads; dg modules; homotopy automorphisms; Sullivan-Wilkerson; arithmetic group; matematik; Mathematics;

    Sammanfattning : This PhD thesis consists in a collection of three papers on Koszul duality of categories and on an analogue of the Sullivan-Wilkerson theorem for relative CW-complexes.In Paper I, we define a general notion of Koszul dual in the context of a monoidal biclosed model category. LÄS MER