Search for dissertations about: "equivalence in algebra"

Showing result 1 - 5 of 17 swedish dissertations containing the words equivalence in algebra.

  2. 1. Stratified algebras and classification of tilting modules

    Author : Elin Persson Westin; Volodymyr Mazorchuk; Aslak Buan; Uppsala universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Representation theory; Generalized tilting module; Exceptional sequence; Quasi-hereditary algebra; Standardly stratified algebra; Essential order; Category O; S-subcategory; Projective dimension; Finitistic dimension; Mathematics; Matematik;

    Abstract : This thesis contains three papers in representation theory of algebras. It mainly studies two types of algebras; quasi-hereditary algebras and standardly stratified algebras. READ MORE

  4. 2. On Constructive Sets and Partial Structures

    Author : Olov Wilander; Erik Palmgren; Viggo Stoltenberg-Hansen; Bas Spitters; Uppsala universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Mathematical Logic; Matematisk logik;

    Abstract : The first three papers in this thesis study the formalisation of a set in type theory as a data type with an equivalence relation – an object usually known as a setoid. The corresponding formalisation of a locally small category is called an E-category. READ MORE

  5. 3. Classification of classical twists of the standard Lie bialgebra structure on a loop algebra

    Author : Stepan Maximov; Chalmers tekniska högskola; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; Lie bialgebra; classical twist; loop algebra; Yang-Baxter equation; Manin triple; geometric r-matrix.; Belavin-Drinfeld quadruple;

    Abstract : This licentiate thesis is based on the work "Classification of classical twists of the standard Lie bialgebra structure on a loop algebra" by R. Abedin and the author of this thesis. The standard Lie bialgebra structure on an affine Kac-Moody algebra induces a Lie bialgebra structure on the underlying loop algebra and its parabolic subalgebras. READ MORE

  6. 4. 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

  7. 5. A Categorical Study of Composition Algebras via Group Actions and Triality

    Author : Seidon Alsaody; Ernst Dieterich; Ryszard Rubinsztein; Alberto Elduque; Uppsala universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Composition algebra; division algebra; absolute valued algebra; triality; groupoid; group action; algebraic group; Lie algebra of derivations; classification.; Mathematics; Matematik;

    Abstract : A composition algebra is a non-zero algebra endowed with a strictly non-degenerate, multiplicative quadratic form. Finite-dimensional composition algebras exist only in dimension 1, 2, 4 and 8 and are in general not associative or unital. Over the real numbers, such algebras are division algebras if and only if they are absolute valued, i.e. READ MORE