Essays about: "algebra"

Showing result 21 - 25 of 279 essays containing the word algebra.

  1. 21. Generating Functions : Powerful Tools for Recurrence Relations. Hermite Polynomials Generating Function

    University essay from Linköpings universitet/Algebra, geometri och diskret matematik; Linköpings universitet/Tekniska fakulteten

    Author : Christoffer Rydén; [2023]
    Keywords : Ordinary power series generating function; Exponential generating function; Moment generating function; Hermite polynomials;

    Abstract : In this report we will plunge down in the fascinating world of the generating functions. Generating functions showcase the "power of power series", giving more depth to the word "power" in power series. We start off small to get a good understanding of the generating function and what it does. READ MORE

  3. 22. The Ext-Algebra of Standard Modules of Bound Twisted Double Incidence Algebras

    University essay from Uppsala universitet/Algebra, logik och representationsteori

    Author : Mika Norlén Jäderberg; [2023]
    Keywords : Algebras; Finite-dimensional; Partially ordered sets; Modules; Quasi-hereditary; Ext-algebra; Schur algebra; Quiver; Path algebra; Categories; Morita equivalence; Yoneda product; Standard module; Homological algebra; Cohomology; Anick Chains;

    Abstract : Quasi-hereditary algebras are an important class of algebras with many appli-cations in representation theory, most notably the representation theory of semi-simple complex Lie-algebras. Such algebras sometimes admit an exact Borel sub-algebra, that is a subalgebra satisfying similar formal properties to the Borel sub-algebras from Lie theory. READ MORE

  4. 23. 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

  5. 24. On Noetherian Rings

    University essay from Örebro universitet/Institutionen för naturvetenskap och teknik

    Author : Kevin Miramadi; [2023]
    Keywords : ;

    Abstract : In this thesis we study a special class of rings called Noetherian rings. Theserings satisfy certain finite conditions on their ideals and appear in manydifferent fields of algebra. READ MORE

  6. 25. Perron-Frobenius' Theory and Applications

    University essay from Linköpings universitet/Algebra, geometri och diskret matematik; Linköpings universitet/Tekniska fakulteten

    Author : Karl Eriksson; [2023]
    Keywords : Positive matrices; nonnegative matrices; Perron-Frobenius; linear dynamical systems; Leslie matrices; Markov chain; Google s PageRank algorithm; Positiva matriser; icke-negativa matriser; Perron-Frobenius; linjära dynamiska system; Leslie matris; Markov-kedja; Google s PageRank algoritm;

    Abstract : This is a literature study, in linear algebra, about positive and nonnegative matrices and their special properties. We say that a matrix or a vector is positive/nonnegative if all of its entries are positive/nonnegative. First, we study some generalities and become acquainted with two types of nonnegative matrices; irreducible and reducible. READ MORE