Sökning: "monomial"

Visar resultat 1 - 5 av 8 uppsatser innehållade ordet monomial.

  1. 1. Classification of almost monomial subalgebras of small codimension

    Kandidat-uppsats, Lunds universitet/Matematik LTH; Lunds universitet/Matematik (naturvetenskapliga fakulteten); Lunds universitet/Matematikcentrum

    Författare :Ludvig Sundell; [2023]
    Nyckelord :Algebra; Subalgebra; Polynomial; SAGBI basis; LAGBI basis; Lower semigroup; Mathematics and Statistics;

    Sammanfattning : 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. LÄS MER

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

    Kandidat-uppsats, Lunds universitet/Matematik LTH

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

    Sammanfattning : 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

  4. 3. The Weak Lefschetz Property For Artinian Quadratic Monomial Algebras

    Master-uppsats, Uppsala universitet/Algebra, logik och representationsteori

    Författare :Einar Waara; [2022]
    Nyckelord :;

    Sammanfattning : In this thesis we aim to study the Lefschetz properties ofmonomial algebras. First, we present the necessary concepts and resultsfrom commutative algebra, in particular we build up to the Hilbert-Serre theorem regarding the rationality of Hilbert series. LÄS MER

  5. 4. The Ratliff-Rush Operation for Certain Monomial Ideals in K[x, y]

    Kandidat-uppsats, Uppsala universitet/Algebra och geometri

    Författare :Petter Restadh; [2017]
    Nyckelord :;

    Sammanfattning : .... LÄS MER

  7. 5. Monomial Cellular Automata : A number theoretical study on two-dimensional cellular automata in the von Neumann neighbourhood over commutative semigroups

    Kandidat-uppsats, Linnéuniversitetet/Institutionen för matematik (MA)

    Författare :Linnea Fransson; [2016]
    Nyckelord :cellular automata; monomial; multiplicative; two-dimensional; von Neumann neighbourhood; number theory;

    Sammanfattning : In this report, we present some of the results achieved by investigating two-dimensional monomial cellular automata modulo m, where m is a non-zero positive integer. Throughout the experiments, we work with the von Neumann neighbourhood and apply the same local rule based on modular multiplication. LÄS MER