Sökning: "Christian Gottlieb"

Hittade 4 avhandlingar innehållade orden Christian Gottlieb.

  1. 1. Some inequalities concerning colengths in Noetherian rings

    Författare :Christian Gottlieb; Stockholms universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES;

    Sammanfattning : .... LÄS MER

  2. 2. Integral Closure and Related Operations on Monomial Ideals

    Författare :Veronica Crispin Quiñonez; Ralf Fröberg; Christian Gottlieb; Marco D'Anna; Stockholms universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Integral closure; monomial ideal; minimal reduction; Ratliff-Rush; Algebra and geometry; Algebra och geometri;

    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

  3. 3. Centra of Quiver Algebras

    Författare :Elin Gawell; Christian Gottlieb; Qimh Xantcha; Jan Snellman; Stockholms universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; quiver; algebra; commutativity ideal; anti-commutativity ideal; non-commutative; partly commutative; partly anti-commutative; center; Koszul algebra; finitely generated; graded center; Hochschild cohomology; support variety; associative algebra; Mathematics; matematik;

    Sammanfattning : A partly (anti-)commutative quiver algebra is a quiver algebra bound by an (anti-)commutativity ideal, that is, a quadratic ideal generated by monomials and (anti-)commutativity relations. We give a combinatorial description of the ideals and the associated generator graphs, from which one can quickly determine if the ideal is admissible or not. LÄS MER

  4. 4. Around minimal Hilbert series problems for graded algebras

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

    Sammanfattning : 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. LÄS MER