Essays about: "Subalgebra"
Showing result 1 - 5 of 8 essays containing the word Subalgebra.
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1. Classification of almost monomial subalgebras of small codimension
University essay from Lunds universitet/Matematik LTH; Lunds universitet/Matematik (naturvetenskapliga fakulteten); Lunds universitet/MatematikcentrumAbstract : In this text, we study almost monomial subalgebras using LAGBI bases. We introduce the concept of a LAGBI base and present an algorithm for computing them. We then use this algorithm to find, and present in a table, all polynomial subalgebras with Frobenius number smaller than or equal to ten. 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. 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
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5. Zero Spectrum Subalgebras of K[x] Described by Higher Derivatives
University essay from Lunds universitet/Matematik LTHAbstract : Unital subalgebras of finite codimension in the polynomial ring $\mathbb{K}[x]$ are described by a finite number of so called subalgebra conditions over a finite set in $\mathbb{K}$ named the subalgebra spectrum. Restricting attention to subalgebras whose spectrum is the singleton $\{0\}$ reveals a rather well behaved class of subalgebras, called almost monomial from the fact that these contain an ideal consisting of all monomials above a certain degree. READ MORE