Essays about: "Subalgebra Spectrum"
Found 3 essays containing the words Subalgebra Spectrum.
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1. 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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2. 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
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3. Describing Finite Codimensional Polynomial Subalgebras Using Partial Derivatives
University essay from Lunds universitet/Matematik LTHAbstract : In this text we continue the work of describing subalgebras of K[x] of finite codimension that was started in Describing subalgebras of K[x] using derivatives. In the referenced paper, the authors present how univariate subalgebras can be described by conditions based on evaluations in certain scalars, and proceed to develop a large theoretical framework to understand the nature of such conditions. READ MORE
