Sökning: "monomial ideals"
Visar resultat 1 - 5 av 11 avhandlingar innehållade orden monomial ideals.
1. Lefschetz Properties of Monomial Ideals
Sammanfattning : 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). LÄS MER
2. Properties of powers of monomial ideals
Sammanfattning : .... LÄS MER
3. Residue Currents and their Annihilator Ideals
Sammanfattning : 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 $\mathcal C$. LÄS MER
4. Integral Closure and Related Operations on Monomial Ideals
Sammanfattning : 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. LÄS MER
5. On properties of monomial ideals and algebras
Sammanfattning : 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. LÄS MER