Search for dissertations about: "Homological algebra"
Showing result 1 - 5 of 12 swedish dissertations containing the words Homological algebra.
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1. N-complexes and Categorification
Abstract : 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. READ MORE
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2. Constructions of n-cluster tilting subcategories using representation-directed algebras
Abstract : 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. READ MORE
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3. Homological properties of some stratified algebras
Abstract : .... READ MORE
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4. Complexes and Diffrerential Graded Modules
Abstract : 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. READ MORE
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5. Applications of homological methods in commutative algebra
Abstract : .... READ MORE