Search for dissertations about: "algebra gruppteori algebraisk geometri fältteori Talteori algebra group theory algebraic geometry f"

Found 2 swedish dissertations containing the words algebra gruppteori algebraisk geometri fältteori Talteori algebra group theory algebraic geometry f.

2. 1. Algorithmic Methods in Combinatorial Algebra

   Author : Anna Torstensson; Algebra; []
   Keywords : NATURVETENSKAP; NATURAL SCIENCES; algebraic geometry; field theory; Number Theory; maximal symmetry group; resultant; SAGBI basis; Orthogonal decomposition; algebra; group theory; Talteori; fältteori; algebraisk geometri; gruppteori;

   Abstract : This thesis consists of a collection of articles all using and/or developing algorithmic methods for the investigation of different algebraic structures. Part A concerns orthogonal decompositions of simple Lie algebras. The main result of this part is that the symplectic Lie algebra C3 has no orthogonal decomposition of so called monomial type. READ MORE

4. 2. Complexes and Diffrerential Graded Modules

   Author : Dmitri Apassov; Matematik (naturvetenskapliga fakulteten); []
   Keywords : 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;

   Abstract : 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. READ MORE