Sökning: "Homological algebra"
Visar resultat 1 - 5 av 12 avhandlingar innehållade orden Homological algebra.
1. 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
2. Constructions of n-cluster tilting subcategories using representation-directed algebras
Sammanfattning : One of the most useful tools in representation theory of algebras is Auslander–Reiten theory. A higher dimensional analogue has recently appeared, based on the notion of n-cluster tilting subcategories. LÄS MER
3. Homological properties of some stratified algebras
Sammanfattning : .... LÄS MER
4. 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
5. Applications of homological methods in commutative algebra
Sammanfattning : .... LÄS MER