Search for dissertations about: "Basic algebra thesis"

Showing result 1 - 5 of 25 swedish dissertations containing the words Basic algebra thesis.

  2. 1. Simple Modules over Lie Algebras

    Author : Jonathan Nilsson; Volodymyr Mazorchuk; Erhard Neher; Uppsala universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; Lie algebra; Representation; Simple module; Non-weight module; Classification; Construction; Mathematics; Matematik;

    Abstract : Simple modules are the elemental components in representation theory for Lie algebras, and numerous mathematicians have worked on their construction and classification over the last century. This thesis consists of an introduction together with four research articles on the subject of simple Lie algebra modules. READ MORE

  4. 2. Ext-algebras of standard modules over quasi-hereditary algebras

    Author : Markus Thuresson; Julian Külshammer; Pierre-Guy Plamondon; Uppsala universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Mathematics; Matematik;

    Abstract : This thesis concerns the representation theory of a particular class of finite-dimensional algebras, called quasi-hereditary algebras. In particular, it considers two subclasses of quasi-hereditary algebras: dual extension algebras and hereditary algebras. It consists of three papers. READ MORE

  5. 3. Contributions to Pointfree Topology and Apartness Spaces

    Author : Anton Hedin; Erik Palmgren; Viggo Stoltenberg-Hansen; Peter Schuster; Uppsala universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Constructive mathematics; General topology; Pointfree topology; Domain theory; Interval analysis; Apartness spaces; Mathematical logic; Matematisk logik; Mathematical Logic; Matematisk logik;

    Abstract : The work in this thesis contains some contributions to constructive point-free topology and the theory of apartness spaces. The first two papers deal with constructive domain theory using formal topology. READ MORE

  6. 4. Kähler-Poisson Algebras

    Author : Ahmed Al-Shujary; Joakim Arnlind; Milagros Izquierdo; Johan Öinert; Linköpings universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES;

    Abstract : The focus of this thesis is to introduce the concept of Kähler-Poisson algebras as analogues of algebras of smooth functions on Kähler manifolds. We first give here a review of the geometry of Kähler manifolds and Lie-Rinehart algebras. After that we give the definition and basic properties of Kähler-Poisson algebras. READ MORE

  7. 5. Truth and Proof in the Long Run: Essays on Trial and-Error Logics

    Author : Martin Kaså; Göteborgs universitet; []
    Keywords : HUMANIORA; HUMANITIES; NATURVETENSKAP; NATURAL SCIENCES; convergence; dynamic meaning; experimental logics; knowable consistency; tableaux systems; trial-and-error;

    Abstract : The theme of this book is convergence. For many philosophical representations of the evolution of theories, as well as representations of the meaning of the language used to express these theories, it has been essential that there exists some kind of convergence. READ MORE