Essays about: "Erik Kennerland"

Found 1 essay containing the words Erik Kennerland.

  1. 1. Zero Spectrum Subalgebras of K[x] Described by Higher Derivatives

    University essay from Lunds universitet/Matematik LTH

    Author : Erik Kennerland; [2023]
    Keywords : Algebra; Almost Monomial Subalgebra; Derivation; Lower Degree; Lower Semigroup; Subalgebra Spectrum; Truncation; Mathematics and Statistics;

    Abstract : 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