Search for dissertations about: "minimal free resolutions"

Found 4 swedish dissertations containing the words minimal free resolutions.

  2. 1. Combinatorial methods in computer algebra

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

    Abstract : Abstract is not available.... READ MORE

  4. 2. Lefschetz Properties of Monomial Ideals

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

    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

  5. 3. Formal Languages and Automata in Computational Algebra

    Author : Jonas Månsson; Algebra; []
    Keywords : 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;

    Abstract : 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. READ MORE

  6. 4. Lefschetz properties and Jordan types of Artinian algebras

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

    Abstract : 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. READ MORE