Search for dissertations about: "Hilbert series"

Showing result 16 - 20 of 21 swedish dissertations containing the words Hilbert series.

  2. 16. 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

  4. 17. Orthogonal Polynomials, Operators and Commutation Relations

    Author : John Musonda; Sergei Silvestrov; Sten Kaijser; Anatoliy Malyarenko; Natan Kruglyak; Irina Asekritova; Viktor Abramov; Mälardalens högskola; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Mathematics Applied Mathematics; matematik tillämpad matematik;

    Abstract : Orthogonal polynomials, operators and commutation relations appear in many areas of mathematics, physics and engineering where they play a vital role. For instance, orthogonal functions in general are central to the development of Fourier series and wavelets which are essential to signal processing. READ MORE

  5. 18. Constructive Methods for SAGBI and SAGBI-Gröbner Bases

    Author : Hans Öfverbeck; Matematik (naturvetenskapliga fakulteten); []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Matematik; Mathematics; elimination; intersection; automata; resultants; noncommutative invariants;

    Abstract : The thesis consists of an introduction and the following four papers: Paper I: Using resultants for SAGBI basis verification in the univariate polynomial ring. Authors: Anna Torstensson, Victor Ufnarovski and Hans Öfverbeck. READ MORE

  6. 19. Formal Languages and Automata in Computational Algebra

    Author : Jonas Månsson; Algebra; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; control; Datalogi; Talteori; algebraisk geometri; algebra; gruppteori; Computer science; numerical analysis; systems; group theory; field theory; algebraic geometry; finite automata; Number Theory; Gröbner bases; SAGBI bases; numerisk analys; system; kontroll; fältteori;

    Abstract : This thesis is a collection of six papers in computational algebra. In particular, we study noncommutative Gröb- ner bases, SAGBI bases and similar algebraic objects which can be represented as a graph or an automaton. READ MORE

  7. 20. Ekedahl Invariants, Veronese Modules and Linear Recurrence Varieties

    Author : Ivan Martino; Anders Björner; Volkmar Welker; Stockholms universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Ekedahl Invariants; Noether Problem; Bogomolov Multiplier; Cyclic quotient singularities; Veronese Modules; Pile simplicial complex; Semigroup Rings; Betti Numbers; Mathematics; matematik;

    Abstract : The title of this thesis refers to the three parts of which it is composed.The first part concerns the Ekedahl Invariants, new geometric invariants for finite groups introduced in 2009 by Torsten Ekedahl. READ MORE