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Showing result 1 - 5 of 8 swedish dissertations matching the above criteria.

  2. 1. Power ideals, Fröberg conjecture and Waring problems

    Author : Alessandro Oneto; Boris Shapiro; Ralf Fröberg; Kristian Ranestad; Stockholms universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; power ideals; Hilbert function; fat points; Waring problem; matematik; Mathematics;

    Abstract : This thesis is divided into two chapters. First, we want to study particularclasses of power ideals, with particular attention to their relation with the Fröberg conjecture on the Hilbert series of generic ideals. READ MORE

  4. 2. Integral Closure and Related Operations on Monomial Ideals

    Author : Veronica Crispin Quiñonez; Ralf Fröberg; Christian Gottlieb; Marco D'Anna; Stockholms universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Integral closure; monomial ideal; minimal reduction; Ratliff-Rush; Algebra and geometry; Algebra och geometri;

    Abstract : The motivation for this thesis starts with the theory of Hilbert coefficients. It is a well known fact that given an ideal I the integral closure Ī can be defined as the largest ideal with the same multiplicity as I. For monomial ideals there is an alternative definition. READ MORE

  5. 3. Chordal and Complete Structures in Combinatorics and Commutative Algebra

    Author : Eric Emtander; Jörgen Backelin; Ralf Fröberg; Bernd Sturmfels; Stockholms universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Betti numbers; chordal hypergraphs; complete hypergraphs; hypercycle; line hypergraph; numerical monoids; positive affine monoids; Other mathematics; Övrig matematik; Mathematics; matematik;

    Abstract : This thesis is divided into two parts. The first part is concerned with the commutative algebra of certain combinatorial structures arising from uniform hypergraphs. The main focus lies on two particular classes of hypergraphs called chordal hypergraphs and complete hypergraphs, respectively. READ MORE

  6. 4. On hypergraph algebras

    Author : Eric Emtander; Jörgen Backelin; Ralf Fröberg; Jakob Jonsson; Stockholms universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Mathematics; matematik;

    Abstract : .... READ MORE

  7. 5. Computational algorithms for algebras

    Author : Samuel Lundqvist; Clas Löfwall; Ralf Fröberg; H. Michael Möller; Stockholms universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Hilbert function; Gröbner basis; zero-dimensional ideal; affine variety; projective variety; run-time complexity; Algebra and geometry; Algebra och geometri; Mathematics; matematik;

    Abstract : This thesis consists of six papers. In Paper I, we give an algorithm for merging sorted lists of monomials and together with a projection technique, we obtain a new complexity bound for the Buchberger-Möller algorithm and the FGLM algorithm. READ MORE