Sökning: "minimal free resolutions"

Hittade 4 avhandlingar innehållade orden minimal free resolutions.

  1. 1. Combinatorial methods in computer algebra

    Författare :Jonas Månsson; Algebra; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Gröbner bases; SAGBI bases; finite state automata; regular languages; minimal free resolutions; Engel Lie algebras; syzgies;

    Sammanfattning : Abstract is not available.... LÄS MER

  3. 2. 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

  4. 3. Formal Languages and Automata in Computational Algebra

    Författare :Jonas Månsson; Algebra; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; control; Datalogi; Talteori; algebraisk geometri; algebra; gruppteori; Computer science; numerical analysis; systems; group theory; field theory; algebraic geometry; finite automata; Number Theory; Gröbner bases; SAGBI bases; numerisk analys; system; kontroll; fältteori;

    Sammanfattning : This thesis is a collection of six papers in computational algebra. In particular, we study noncommutative Gröb- ner bases, SAGBI bases and similar algebraic objects which can be represented as a graph or an automaton. LÄS MER

  5. 4. 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