Search for dissertations about: "polynomial rings"

Showing result 11 - 15 of 16 swedish dissertations containing the words polynomial rings.

  2. 11. Constructive Algebra in Type Theory

    Author : Anders Mörtberg; Göteborgs universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES;

    Abstract : This thesis contains four papers aiming at bridging the gap between algorithms implemented in computer algebra systems and interactive proof assistants. This is done by implementing and verifying efficient algorithms using the Coq proof assistant together with the SSReflect extension. READ MORE

  4. 12. Bounds on Hilbert Functions and Betti Numbers of Veronese Modules

    Author : Ornella Greco; Mats Boij; Maria Evelina Rossi; KTH; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; Hilbert function; Betti numbers; Veronese modules; Pinched veronese; h-vectors; Mathematics; Matematik;

    Abstract : The thesis is a collection of four papers dealing with Hilbert functions and Betti numbers.In the first paper, we study the h-vectors of reduced zero-dimensional schemes in  . In particular we deal with the problem of findingthe possible h-vectors for the union of two sets of points of given h-vectors. READ MORE

  5. 13. Algebraic Properties of Ore Extensions and Their Commutative Subrings

    Author : Johan Richter; Matematik LTH; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Ore extension; Noncommutative algebra; Algebraic dependence;

    Abstract : This thesis deals with a class of rings known as Ore extensions. An Ore extension can be described as a noncommutative ring of polynomials in one variable. A special focus of the thesis is the study of commuting elements in Ore extensions. READ MORE

  6. 14. Minimal models in algebra, combinatorics and topology

    Author : Alexander Berglund; Torsten Ekedahl; Alexandru Suciu; Stockholms universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; MATHEMATICS; MATEMATIK; matematik; Mathematics;

    Abstract : The thesis consists of seven papers.In Paper I, II, III, IV and V, we study homological invariants of monomial rings — rings of the form R = k[x1, . . . READ MORE

  7. 15. Around power ideals : From Fröberg's conjecture to zonotopal algebra

    Author : Gleb Nenashev; Boris Shapiro; Volkmar Welker; Stockholms universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; Mathematics; matematik;

    Abstract : In this thesis we study power algebras, which are quotient of polynomial rings by power ideals. We will study Hilbert series of such ideals and their other properties. We consider two important special cases, namely, zonotopal ideals and generic ideals. Such ideals have a lot combinatorial properties. READ MORE