Essays about: "SAGBI bases"

Found 2 essays containing the words SAGBI bases.

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

   University essay from Lunds universitet/Matematik LTH; Lunds universitet/Matematik (naturvetenskapliga fakulteten); Lunds universitet/Matematikcentrum

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

   Abstract : 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

3. 2. Conditions for Univariate SAGBI Bases

   University essay from Lunds universitet/Matematik LTH; Lunds universitet/Matematik (naturvetenskapliga fakulteten)

   Author : Rode Grönkvist; [2020]
   Keywords : SAGBI; SAGBI bases; univariate SAGBI bases; resultant; polynomial algebra; Mathematics and Statistics;

   Abstract : This thesis describes the fundaments of SAGBI theory, including definitions, subduction, SAGBI basis verification and construction. A resultant identity is then used to demonstrate some conditions on univariate SAGBI bases for subalgebras generated by two polynomials... READ MORE