Search for dissertations about: "thesis about algebra"

Showing result 1 - 5 of 43 swedish dissertations containing the words thesis about algebra.

  1. 1. Waring-type problems for polynomials : Algebra meets Geometry

    Author : Alessandro Oneto; Boris Shapiro; Brian Harbourne; Stockholms universitet; []
    Keywords : NATURAL SCIENCES; NATURVETENSKAP; NATURVETENSKAP; NATURAL SCIENCES; polynomials; Waring problems; Hilbert series; fat points; power ideals; secant varieties; Mathematics; matematik;

    Abstract : In the present thesis we analyze different types of additive decompositions of homogeneous polynomials. These problems are usually called Waring-type problems and their story go back to the mid-19th century and, recently, they received the attention of a large community of mathematicians and engineers due to several applications. READ MORE

  2. 2. Constructions of n-cluster tilting subcategories using representation-directed algebras

    Author : Laertis Vaso; Martin Herschend; Øyvind Solberg; Uppsala universitet; []
    Keywords : NATURAL SCIENCES; NATURVETENSKAP; NATURVETENSKAP; NATURAL SCIENCES; Representation theory; n-cluster tilting subcategory; Auslander–Reiten theory; representation-directed algebra; Nakayama algebra; global dimension; Mathematics; Matematik;

    Abstract : One of the most useful tools in representation theory of algebras is Auslander–Reiten theory. A higher dimensional analogue has recently appeared, based on the notion of n-cluster tilting subcategories. READ MORE

  3. 3. The type I and CCR properties for groupoids and inverse semigroups

    Author : Gabriel Favre; Sven Raum; Fernando Llédo; Stockholms universitet; []
    Keywords : NATURAL SCIENCES; NATURVETENSKAP; NATURVETENSKAP; NATURAL SCIENCES; Representations; groupoids; type I; Operator algebra; unitary representation;

    Abstract : This licentiate thesis consists of one paper about unitary representationtheory of ample groupoids and semigroups together with generalizationsto étale and non-Hausdorff groupoids. In the paper we study algebraically the type I and CCR properties forample Hausdorff groupoids. READ MORE

  4. 4. 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

  5. 5. Mathematics teachers' conceptions about equations

    Author : Iiris Attorps; Högskolan i Gävle; []
    Keywords : SOCIAL SCIENCES; SAMHÄLLSVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; SAMHÄLLSVETENSKAP; SOCIAL SCIENCES; algebra; conception; equation; learning; mathematics teacher; Subject didactics; Ämnesdidaktik; MATHEMATICS; MATEMATIK;

    Abstract : The aim of this study is to describe and to clarify the mathematics teachers’ subject matter and pedagogical content conceptions about equations. As the basis of these conceptions, the teachers’ experiences of the concept learning of equations from their own school time are described. READ MORE