Essays about: "monomial"
Showing result 1 - 5 of 8 essays containing the word monomial.
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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. 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. The Weak Lefschetz Property For Artinian Quadratic Monomial Algebras
University essay from Uppsala universitet/Algebra, logik och representationsteoriAbstract : 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. READ MORE
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4. The Ratliff-Rush Operation for Certain Monomial Ideals in K[x, y]
University essay from Uppsala universitet/Algebra och geometriAbstract : .... READ MORE
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5. Monomial Cellular Automata : A number theoretical study on two-dimensional cellular automata in the von Neumann neighbourhood over commutative semigroups
University essay from Linnéuniversitetet/Institutionen för matematik (MA)Abstract : 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. READ MORE