Sökning: "Naturvetenskap Matematik Algebra och logik"
Visar resultat 16 - 20 av 111 avhandlingar innehållade orden Naturvetenskap Matematik Algebra och logik.
16. The Ext-algebra of standard modules over dual extension algebras
Sammanfattning : .... LÄS MER
17. Ext-algebras of standard modules over quasi-hereditary algebras
Sammanfattning : This thesis concerns the representation theory of a particular class of finite-dimensional algebras, called quasi-hereditary algebras. In particular, it considers two subclasses of quasi-hereditary algebras: dual extension algebras and hereditary algebras. It consists of three papers. LÄS MER
18. Module categories, internal bimodules and Tambara modules
Sammanfattning : We use the theory of Tambara modules to extend and generalize the reconstruction theorem for module categories over a rigid monoidal category to the non-rigid case. We show a biequivalence between the 2-category of cyclic module categories over a monoidal category C and the bicategory of algebra and bimodule objects in the category of Tambara modules on C . LÄS MER
19. Rees algebras of modules and Quot schemes of points
Sammanfattning : This thesis consists of three articles. The first two concern a generalization of Rees algebras of ideals to modules. Paper A shows that the definition of the Rees algebra due to Eisenbud, Huneke and Ulrich has an equivalent, intrinsic, definition in terms of divided powers. LÄS MER
20. Hilbert schemes and Rees algebras
Sammanfattning : The topic of this thesis is algebraic geometry, which is the mathematical subject that connects polynomial equations with geometric objects. Modern algebraic geometry has extended this framework by replacing polynomials with elements from a general commutative ring, and studies the geometry of abstract algebra. LÄS MER
