Sökning: "Rings Algebra"
Visar resultat 6 - 10 av 30 avhandlingar innehållade orden Rings Algebra.
6. On the Clebsch-Gordan problem for quiver representations
Sammanfattning : On the category of representations of a given quiver we define a tensor product point-wise and arrow-wise. The corresponding Clebsch-Gordan problem of how the tensor product of indecomposable representations decomposes into a direct sum of indecomposable representations is the topic of this thesis. LÄS MER
7. Period integrals and other direct images of D-modules
Sammanfattning : This thesis consists of three papers, each touching on a different aspect of the theory of rings of differential operators and D-modules. In particular, an aim is to provide and make explicit good examples of D-module directimages, which are all but absent in the existing literature. LÄS MER
8. Complexes and Diffrerential Graded Modules
Sammanfattning : The main topic of the thesis is the generalization of some traditional module-theoretic homological applications to complexes of modules and to differential graded modules over differential graded rings. We introduce three possible generalizations of the classical notion of annihilator of an R-module. LÄS MER
9. On Hom-associative Ore Extensions
Sammanfattning : In this thesis, we introduce and study hom-associative Ore extensions. These are non-unital, non-associative, non-commutative polynomial rings in which the associativity condition is “twisted” by an additive group homomorphism. LÄS MER
10. Bounds on Hilbert Functions and Betti Numbers of Veronese Modules
Sammanfattning : The thesis is a collection of four papers dealing with Hilbert functions and Betti numbers.In the first paper, we study the h-vectors of reduced zero-dimensional schemes in . In particular we deal with the problem of findingthe possible h-vectors for the union of two sets of points of given h-vectors. LÄS MER
