Search for dissertations about: "Lefschetz properties"

Found 4 swedish dissertations containing the words Lefschetz properties.

  2. 1. Lefschetz Properties of Monomial Ideals

    Author : Nasrin Altafi; Mats Boij; Alicia Dickenstein; KTH; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Weak Lefschetz property; monomial ideals; group actions; almost linear resolution; Mathematics; Matematik;

    Abstract : This thesis concerns the study of the Lefschetz properties of artinian monomial algebras. An artinian algebra is said to satisfy the strong Lefschetz property if multiplication by all powers of a general linear form has maximal rank in every degree. If it holds for the first power it is said to have the weak Lefschetz property (WLP). READ MORE

  4. 2. Lefschetz properties and Jordan types of Artinian algebras

    Author : Nasrin Altafi; Mats Boij; Martina Juhnke-Kubitzke; KTH; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Lefschetz properties; Jordan type; Hilbert function; Artinian algebra; Gorenstein algebra; Hessian;

    Abstract : This thesis contains six papers concerned with studying the Lefschetz properties and Jordan types of linear forms for graded Artinian algebras. Lefschetz properties and Jordan types carry information about the ranks of multiplication maps by linear forms on graded Artinian algebras. READ MORE

  5. 3. Around minimal Hilbert series problems for graded algebras

    Author : Lisa Nicklasson; Samuel Lundqvist; Christian Gottlieb; Uwe Nagel; Stockholms universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Graded algebras; Hilbert series; Lefschetz properties; Exterior algebra; Linear resolution; Mathematics; matematik;

    Abstract : The Hilbert series of a graded algebra is an invariant that encodes the dimension of the algebra's graded compontents. It can be seen as a tool for measuring the size of a graded algebra. This gives rise to the idea of algebras with a "minimal Hilbert series", among the algebras within a certain family. READ MORE

  6. 4. On properties of monomial ideals and algebras

    Author : Oleksandra Gasanova; Veronica Crispin Quiñonez; Volkmar Welker; Uppsala universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES;

    Abstract : Monomial ideals form an important link between commutative algebra and combinatorics. Our aim is to study various operations on monomial ideals and algebras, as well as their properties. This thesis consists of an introduction and four research articles. The introduction covers the necessary background and the existing results. READ MORE