Sökning: "Weak Lefschetz property"

Hittade 3 avhandlingar innehållade orden Weak Lefschetz property.

  1. 1. Lefschetz Properties of Monomial Ideals

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

    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

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

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

    Sammanfattning : 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. LÄS MER

  4. 3. Graded Betti Numbers and Hilbert Functions of Graded Cohen-Macaulay Modules

    Författare :Jonas Söderberg; Mats Boij; Jürgen Herzog; KTH; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; MATHEMATICS; MATEMATIK;

    Sammanfattning : In this thesis we study graded Cohen-Macaulay modules and their possible Hilbert functions and graded Betti numbers. In most cases the Cohen-Macaulay modules we study are level modules. LÄS MER