Sökning: "MATHEMATICS Algebra"
Visar resultat 6 - 10 av 276 avhandlingar innehållade orden MATHEMATICS Algebra.
6. Constructive Newton–Puiseux Theorem, Sheaf Model of the Separable Closure and Dynamic Evaluation
Sammanfattning : Computing the Puiseux expansions of a plane algebraic curve defined by an affine equation over an algebraically closed field is a an important algorithm in algebraic geometry. This is the so-called Newton–Puiseux Theorem. The termination of this algorithm, however, is usually justified by non-constructive means. LÄS MER
7. Classification of classical twists of the standard Lie bialgebra structure on a loop algebra
Sammanfattning : This licentiate thesis is based on the work "Classification of classical twists of the standard Lie bialgebra structure on a loop algebra" by R. Abedin and the author of this thesis. The standard Lie bialgebra structure on an affine Kac-Moody algebra induces a Lie bialgebra structure on the underlying loop algebra and its parabolic subalgebras. LÄS MER
8. Waring-type problems for polynomials : Algebra meets Geometry
Sammanfattning : In the present thesis we analyze different types of additive decompositions of homogeneous polynomials. These problems are usually called Waring-type problems and their story go back to the mid-19th century and, recently, they received the attention of a large community of mathematicians and engineers due to several applications. LÄS MER
9. Effective Domains and Admissible Domain Representations
Sammanfattning : This thesis consists of four papers in domain theory and a summary. The first two papers deal with the problem of defining effectivity for continuous cpos. LÄS MER
10. N-complexes and Categorification
Sammanfattning : This thesis consists of three papers about N-complexes and their uses in categorification. N-complexes are generalizations of chain complexes having a differential d satisfying dN = 0 rather than d2 = 0. Categorification is the process of finding a higher category analog of a given mathematical structure. LÄS MER
