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Thick subcategories for quiver representations
Abstract
Zusammenfassung
Acknowledgements
Introduction
Thick subcategories for cyclic quivers
Cyclic quivers
Orthogonal sequences and thick subcategories
Cotilting, support-tilting modules and thick subcategories
Number of thick subcategories
Lattice of thick subcategories
Nakayama algebras
Self-injective Nakayama algebras
Thick subcategories for hereditary algebras
Thick subcategories generated by preprojective modules
Thick subcategories for Euclidean quivers
Classification of thick subcategories
Thick subcategories are exact abelian
Exact abelian extension closed subcategories for tilted algebras
Torsion pairs, tilting modules and tilted algebras
Exact abelian extension closed subcategories for tilted algebras
Appendix
Basic and auxiliary results
Quivers and their representations
Hereditary algebras
The Auslander-Reiten quiver
Two homological facts
Bibliography
Dissertation
Thick subcategories for quiver representations / Nikolay Dimitrov Dichev
Entstehung
2009
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