Sökning: "polynomial map"
Visar resultat 1 - 5 av 10 avhandlingar innehållade orden polynomial map.
1. The Theory of Polynomial Functors
Sammanfattning : Polynomial functors were introduced by Professors Eilenberg and Mac Lane in 1954, who used them to study certain homology rings. Strict polynomial functors were invented by Professors Friedlander and Suslin in 1997, in order to develop the theory of group schemes. LÄS MER
2. Complexity of state-variable planning under structural restrictions
Sammanfattning : Computationally tractable planning problems reported in the literature have almost exclusively been defined by syntactical restrictions. To better exploit the inherent structure in problems, it is probably necessary to study also structural restrictions on the underlying state-transition graph. LÄS MER
3. Tropical aspects of real polynomials and hypergeometric functions
Sammanfattning : The present thesis has three main topics: geometry of coamoebas, hypergeometric functions, and geometry of zeros.First, we study the coamoeba of a Laurent polynomial f in n complex variables. We define a simpler object, which we call the lopsided coamoeba, and associate to the lopsided coamoeba an order map. LÄS MER
4. Classification and Construction of Low-dimensional Hom-Lie Algebras and Ternary Hom-Nambu-Lie Algebras
Sammanfattning : This thesis concerns the construction and classification of low-dimensional Hom-Lie algebras and ternary Hom-Nambu-Lie algebras. A classification of 3-dimensional Hom-Lie algebras is given for nilpotent linear endomorphism, as a twisting map, and a construction of 4-dimensional Hom-Lie algebras is done. LÄS MER
5. Minimal models in algebra, combinatorics and topology
Sammanfattning : The thesis consists of seven papers.In Paper I, II, III, IV and V, we study homological invariants of monomial rings — rings of the form R = k[x1, . . . LÄS MER