Essays about: "algebras"
Showing result 1 - 5 of 62 essays containing the word algebras.
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1. Examples of G-Hom-Associative Algebras
University essay from Mälardalens universitet/Akademin för utbildning, kultur och kommunikationAbstract : In this thesis we look at hom-associative algebras (which turn out to be exactly the G1-hom-associative algebras), by, in two and three dimensions, trying to find the structure constants for which an algebra becomes hom-associative when the homomorphism 𝛼 is defined as different matrix units. These algebras are also hom-Lie admissible (or G6-hom-associative, which turn out to be the same thing) with a commutator, so we also find the commutator for each of these hom-Lie admissible algebras. READ MORE
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2. On Geometric Number
University essay from Uppsala universitet/Analys och partiella differentialekvationerAbstract : This is an overview of geometric algebras in dimensions 0-4 from the perspective of the concept of number itself. It is developed from a historic viewpoint and investigates and develops a pedagogic approach emphasizing the geometric aspects of the subject. READ MORE
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3. Constructing Subalgebras of K[x] Using the Minimal Polynomial
University essay from Lunds universitet/Matematik LTHAbstract : In this report we will be working with subalgebras A of finite codimension in K[x]. It is known that such subalgebras can be expressed using a set of linear conditions evaluated at a finite set of points called the spectrum elements of A. READ MORE
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4. Octonion Algebras over Schemes and the Equivalence of Isotopes and Isometric Quadratic Forms
University essay from Uppsala universitet/Matematiska institutionenAbstract : Octonion algebras are certain algebras with a multiplicative quadratic form. In 2019, Alsaody and Gille showed that, for octonion algebras over unital commutative rings, there is an equivalence between isotopes and isometric quadratic forms. READ MORE
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5. The Ext-Algebra of Standard Modules of Bound Twisted Double Incidence Algebras
University essay from Uppsala universitet/Algebra, logik och representationsteoriAbstract : 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