Essays about: "abstract algebra"

Showing result 1 - 5 of 11 essays containing the words abstract algebra.

  1. 1. Math Visualizations in VR

    University essay from Högskolan i Halmstad/Akademin för informationsteknologi

    Author : Abraham Al-bashki; Ahmed Oogle; [2023]
    Keywords : ;

    Abstract : Visualization of linear algebra with virtual reality (VR) can be helpful for math teachers. A study has shown more engagement, focus, and active learning through immersion and interactivity, supplementing opportunities for visualizing abstract concepts. READ MORE

  3. 2. Abstract Logics and Lindström's Theorem

    University essay from Uppsala universitet/Algebra, logik och representationsteori

    Author : Niclas Bengtsson; [2023]
    Keywords : model theory; abstract model theory; logic; mathematical logic; abstract logic; Lindström s Theorem; infinitary logics; strength of logics; cardinality quantifiers; modellteori; abstrakt modellteori; logik; matematisk logik; abstrakt logik; Lindströms sats;

    Abstract : A definition of abstract logic is presented. This is used to explore and compare some abstract logics, such as logics with generalised quantifiers and infinitary logics, and their properties. Special focus is given to the properties of completeness, compactness, and the Löwenheim-Skolem property. READ MORE

  4. 3. The Weak Lefschetz Property For Artinian Quadratic Monomial Algebras

    University essay from Uppsala universitet/Algebra, logik och representationsteori

    Author : Einar Waara; [2022]
    Keywords : ;

    Abstract : In this thesis we aim to study the Lefschetz properties ofmonomial algebras. First, we present the necessary concepts and resultsfrom commutative algebra, in particular we build up to the Hilbert-Serre theorem regarding the rationality of Hilbert series. READ MORE

  5. 4. Representations of finite groups

    University essay from Karlstads universitet

    Author : Andreas Stavis; [2017]
    Keywords : Representation theory; groups; finite; modules; p-groups; algebra;

    Abstract : Representation theory is concerned with the ways of writing elements of abstract algebraic structures as linear transformations of vector spaces. Typical structures amenable to representation theory are groups, associative algebras and Lie algebras. In this thesis we study linear representations of finite groups. READ MORE

  6. 5. A Theorem of Wedderburn and Applications

    University essay from Lunds universitet/Matematik (naturvetenskapliga fakulteten)

    Author : Dennis Wiklund; [2016]
    Keywords : abstract algebra; rings; division rings; fields; alternative rings; Wedderburn; Artin; Zorn; Jacobson; Mathematics and Statistics;

    Abstract : The main focus of this thesis is Wedderburn's theorem that a finite division ring is a field. We present two proofs of this. The thesis also contains a proof of a theorem of Jacobson and a proof of a generalisation by Artin and Zorn that a finite alternative ring is associative, and therefore a field.. READ MORE