Search for dissertations about: "monomial ideals"

Showing result 1 - 5 of 11 swedish dissertations containing the words monomial ideals.

  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. Properties of powers of monomial ideals

    Author : Oleksandra Gasanova; Veronica Crispin Quiñonez; Volodymyr Mazorchuk; Alexander Engström; Uppsala universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; powers of monomial ideals; polynomial rings; Mathematics; Matematik;

    Abstract : .... READ MORE

  5. 3. Residue Currents and their Annihilator Ideals

    Author : Elizabeth Wulcan; Göteborgs universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; residue currents; Bochner-Martinelli formula; ideals of holomorphic functions; monomial ideals; coherents sheaves; free resolutions of modules; cellular resolutions; coherents sheaves;

    Abstract : This thesis presents results in multidimensional residue theory. From a generically exact complex of locally free analytic sheaves $\mathcal C$ we construct a vector valued residue current $R^\mathcal C$, which in a sense measures the exactness of $\mathcal C$. READ MORE

  6. 4. 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

  7. 5. 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