Search for dissertations about: "MATHEMATICS Algebra"

Showing result 21 - 25 of 262 swedish dissertations containing the words MATHEMATICS Algebra.

  2. 21. Minimal models in algebra, combinatorics and topology

    Author : Alexander Berglund; Torsten Ekedahl; Alexandru Suciu; Stockholms universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; MATHEMATICS; MATEMATIK; matematik; Mathematics;

    Abstract : The thesis consists of seven papers.In Paper I, II, III, IV and V, we study homological invariants of monomial rings — rings of the form R = k[x1, . . . READ MORE

  4. 22. Knotted Legendrian surfaces with few Reeb chords

    Author : Georgios Dimitroglou Rizell; Tobias Ekholm; Uppsala universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; MATHEMATICS; MATEMATIK; Mathematics; Matematik;

    Abstract : .... READ MORE

  5. 23. Representation theorems for abelian and model categories

    Author : Anna Giulia Montaruli; Peter LeFanu Lumsdaine; Gregory Arone; Marek Zawadowski; Stockholms universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Category Theory; Logic; Algebra; Homotopy Theory; matematik; Mathematics;

    Abstract : In this PhD thesis we investigate a representation theorem for small abelian categories and a representation theorem for left proper, enriched model categories, with the purpose of describing them concretely in terms of specific well-known categories.For the abelian case, we study the constructivity issues of the Freyd-Mitchell Embedding Theorem, which states the existence of a full embedding from a small abelian category into the category of modules over an appropriate ring. READ MORE

  6. 24. Ext-algebras of standard modules over quasi-hereditary algebras

    Author : Markus Thuresson; Julian Külshammer; Pierre-Guy Plamondon; Uppsala universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Mathematics; Matematik;

    Abstract : This thesis concerns the representation theory of a particular class of finite-dimensional algebras, called quasi-hereditary algebras. In particular, it considers two subclasses of quasi-hereditary algebras: dual extension algebras and hereditary algebras. It consists of three papers. READ MORE

  7. 25. On relations between classical and quantum theories of information and probability

    Author : Peter Nyman; Andrei Khrennikov; Sergei Kozyrev; Linnéuniversitetet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Born’s rule; Clifford algebra; Deutsch-Josza algorithm; Grover’s algorithm; Hyperbolic interferences; Inverse Born’s rule problem; Probabilistic data; Quantum computing; Quantum error-correcting; Quantum-like representation algorithm; Shor’s algorithm; Simon’s algorithm; Simulation of quantum algorithms; MATHEMATICS; MATEMATIK; Mathematics; Matematik;

    Abstract : In this thesis we study quantum-like representation and simulation of quantum algorithms by using classical computers.The quantum--like representation algorithm (QLRA) was  introduced by A. Khrennikov (1997) to solve the ``inverse Born's rule problem'', i.e. READ MORE