Search for dissertations about: "Gröbner bases"

Showing result 1 - 5 of 15 swedish dissertations containing the words Gröbner bases.

  2. 1. Canonical Bases for Algebraic Computations

    Author : Patrik Nordbeck; Algebra; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; gruppteori; algebra; algebraisk geometri; fältteori; Talteori; group theory; algebraic geometry; field theory; Matematik; Number Theory; regular languages; Mathematics; composition of polynomials; factor algebras; Gröbner bases; SAGBI bases;

    Abstract : This thesis deals with computational methods in algebra, mainly focusing on the concept of Gröbner and SAGBI bases in non-commutative algebras. The material has a natural division into two parts. The first part is a rather extensive treatment of the basic theory of Gröbner bases and SAGBI bases in the non-commutative polynomial ring. READ MORE

  4. 2. 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

  5. 3. 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

  6. 4. Constructive Methods for SAGBI and SAGBI-Gröbner Bases

    Author : Hans Öfverbeck; Matematik (naturvetenskapliga fakulteten); []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Matematik; Mathematics; elimination; intersection; automata; resultants; noncommutative invariants;

    Abstract : The thesis consists of an introduction and the following four papers: Paper I: Using resultants for SAGBI basis verification in the univariate polynomial ring. Authors: Anna Torstensson, Victor Ufnarovski and Hans Öfverbeck. READ MORE

  7. 5. A graded subring of an inverse limit of polynomial rings

    Author : Jan Snellman; Jörgen Backelin; Guillermo Moreno Socias; Stockholms universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Gröbner bases; generic forms; inverse limit; Algebra and geometry; Algebra och geometri;

    Abstract : We study the power series ring R= K[[x1,x2,x3,...]]on countably infinitely many variables, over a field K, and two particular K-subalgebras of it: the ring S, which is isomorphic to an inverse limit of the polynomial rings in finitely many variables over K, and the ring R', which is the largest graded subalgebra of R. READ MORE