Sökning: "projective module"
Visar resultat 1 - 5 av 7 avhandlingar innehållade orden projective module.
1. Morphisms of real calculi from a geometric and algebraic perspective
Sammanfattning : Noncommutative geometry has over the past four of decades grown into a rich field of study. Novel ideas and concepts are rapidly being developed, and a notable application of the theory outside of pure mathematics is quantum theory. LÄS MER
2. Stratified algebras and classification of tilting modules
Sammanfattning : This thesis contains three papers in representation theory of algebras. It mainly studies two types of algebras; quasi-hereditary algebras and standardly stratified algebras. LÄS MER
3. 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
4. Tensor Products on Category O and Kostant's Problem
Sammanfattning : This thesis consists of a summary and three papers, concerning some aspects of representation theory for complex finite dimensional semi-simple Lie algebras with focus on the BGG-category O.Paper I is motivated by the many useful properties of functors on category O given by tensoring with finite dimensional modules, such as projective functors and translation functors. LÄS MER
5. Contributions to certain problems in algebraic topology
Sammanfattning : We consider two problems. The first one is to determine when a fibration is also a (homotopy) cofibration. We use a classic result of T. Ganea to give a complete algebraic solution. LÄS MER