Sökning: "Subalgebra Spectrum"
Hittade 3 uppsatser innehållade orden Subalgebra Spectrum.
1. Constructing Subalgebras of K[x] Using the Minimal Polynomial
Master-uppsats, Lunds universitet/Matematik LTHSammanfattning : 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. LÄS MER
2. Zero Spectrum Subalgebras of K[x] Described by Higher Derivatives
Kandidat-uppsats, Lunds universitet/Matematik LTHSammanfattning : 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. LÄS MER
3. Describing Finite Codimensional Polynomial Subalgebras Using Partial Derivatives
Master-uppsats, Lunds universitet/Matematik LTHSammanfattning : 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. LÄS MER
