Search for dissertations about: "Homomorphism"

Showing result 1 - 5 of 10 swedish dissertations containing the word Homomorphism.

2. 1. 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

4. 2. Invariant Subspaces in Spaces of Analytic Functions

   Author : Ali Abkar; Matematik (naturvetenskapliga fakulteten); []
   Keywords : NATURVETENSKAP; NATURAL SCIENCES; functional analysis; Series; Fourier analysis; weighted Bergman space.; super-biharmonic function; quasi-Banach space of analytic functions; index; multiplier module homomorphism; multiplier; Banach space of analytic functions; hyperinvariant subspace; Serier; fourieranalys; funktionsanalys;

   Abstract : Let D be a finitely connected bounded domain with smooth boundary in the complex plane. We first study Banach spaces of analytic functions on D . The main result is a theorem which converts the study of hyperinvariant subspaces on multiply connected domains into the study of hyperinvariant subspaces on domains with fewer holes. READ MORE

5. 3. The Diamond Lemma for Power Series Algebras

   Author : Lars Hellström; Umeå universitet; []
   Keywords : NATURVETENSKAP; NATURAL SCIENCES; Mathematical analysis; diamond lemma; power series algebra; Gröbner basis; embedding into skew fields; archimedean element in semigroup; q-deformed Heisenberg--Weyl algebra; polynomial degree; ring norm; Birkhoff orthogonality; filtered structure; Matematisk analys; Mathematical analysis; Analys; Mathematics; matematik;

   Abstract : The main result in this thesis is the generalisation of Bergman's diamond lemma for ring theory to power series rings. This generalisation makes it possible to treat problems in which there arise infinite descending chains. READ MORE

6. 4. On Some Combinatorial Optimization Problems : Algorithms and Complexity

   Author : Hannes Uppman; Peter Jonsson; Christer Bäckström; Ulf Nilsson; Stanislav Živný; Linköpings universitet; []
   Keywords : NATURVETENSKAP; NATURAL SCIENCES; Computational complexity; optimization; constraint satisfaction problem;

   Abstract : This thesis is about the computational complexity of several classes of combinatorial optimization problems, all related to the constraint satisfaction problems.A constraint language consists of a domain and a set of relations on the domain. For each such language there is a constraint satisfaction problem (CSP). READ MORE

7. 5. Grothendieck Rings and Motivic Integration

   Author : Karl Rökaeus; Torsten Ekedahl; Johannes Nicaise; Stockholms universitet; []
   Keywords : NATURVETENSKAP; NATURAL SCIENCES; MATHEMATICS; MATEMATIK; matematik; Mathematics;

   Abstract : This thesis consists of three parts: In Part I we study the Burnside ring of the finite group G. This ring has a natural structure of a lambda-ring. However, a priori the images of the G-set S under the lambda-operations can only be computed recursively. READ MORE