Search for dissertations about: "monomial ideals"
Showing result 1 - 5 of 11 swedish dissertations containing the words monomial ideals.
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1. Lefschetz Properties of Monomial Ideals
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
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2. Properties of powers of monomial ideals
Abstract : .... READ MORE
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3. Residue Currents and their Annihilator Ideals
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
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4. Integral Closure and Related Operations on Monomial Ideals
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
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5. On properties of monomial ideals and algebras
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