Sökning: "composition algebra"

Visar resultat 6 - 10 av 14 avhandlingar innehållade orden composition algebra.

  1. 6. Canonical Bases for Algebraic Computations

    Författare :Patrik Nordbeck; Algebra; []
    Nyckelord :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;

    Sammanfattning : 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. LÄS MER

  3. 7. Kantor Triple Systems

    Författare :Daniel Mondoc; Matematik (naturvetenskapliga fakulteten); []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; gruppteori; fältteori; algebra; algebraic geometry; group theory; Talteori; field theory; Number Theory; Composition algebras; Jordan algebras; Kantor triple systems; Lie algebras; Jordan triple systems; algebraisk geometri;

    Sammanfattning : The main purpose of this thesis is to study real exceptional Kantor triple systems. In the first paper we first prove the known results in both the real and complex classical cases of K-simple Kantor triple systems. In the real classical case our approach gives somewhat simpler formulas. LÄS MER

  4. 8. Contributions to the theory and applications of tree languages

    Författare :Johanna Högberg; Frank Drewes; Manfred Droste; Umeå universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; regular tree languages; tree series; algorithmic learning; MAT-learning; bisimulation minimisation; tree-based generation; algorithmic composition; music algebra; Computer science; Datalogi;

    Sammanfattning : This thesis is concerned with theoretical as well as practical aspects of tree languages. It consists of an introduction and eight papers, organised into three parts. LÄS MER

  5. 9. Framgångsrik kommunikation i matematikklassrummet

    Författare :Lucian Olteanu; Mona Holmqvist Olander; Håkan Lennerstad; Arne Engström; Karlstads universitet; []
    Nyckelord :SAMHÄLLSVETENSKAP; SOCIAL SCIENCES; framgångsrik kommunikation; kompositionalitetsprincipen; variation teori; variationsmönster; kritiska aspekter; algebra; paramatematiska begrepp; protomatematiska begrepp; Mathematical Education; Matematikdidaktik;

    Sammanfattning : The research for this thesis was done to examine, describe and understand the ways in which mathematical content (algebra) is communicated in classrooms. It also sought to identify the opportunities that allow successful classroom communication. LÄS MER

  7. 10. Dynamical Systems and Commutants in Non-Commutative Algebras

    Författare :Alex Behakanira Tumwesigye; Sergei Silvestrov; Johan Richter; Linus Carlsson; Olga Liivapuu; Mälardalens högskola; []
    Nyckelord :Mathematics Applied Mathematics; matematik tillämpad matematik;

    Sammanfattning : This thesis work is about commutativity which is a very important topic in Mathematics, Physics, Engineering and many other fields. In Mathematics, it is well known that matrix multiplication (or composition of linear operators on a finite dimensional vector space) is not always commutative. LÄS MER