Sökning: "field theory algebraic geometry 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 algebra gruppteori"

Hittade 1 avhandling innehållade orden field theory algebraic geometry 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 algebra gruppteori.

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