Lecture Notes in Mathematics

Finite Dimensional Algebras

By: Vlastimil Dlab (Editor), Peter Gabriel (Editor), Gerhard Michler (Editor)

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Paperback | 1 February 1986

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360 Pages

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Homological properties of wild hereditary artin algebras.- A combinatorial characterisation of finite Auslander-Reiten quivers.- On a theorem of nazarova and roiter.- Hochschild homology of an algebra whose quiver has no oriented cycles.- Simply connected algebras of tree-class A n and D n.- Galois coverings of algebras by locally support-finite categories.- The representation-finite algebras with at most 3 simple modules.- Algorithms in representation theory of algebras.- Krull dimension and artin algebras.- The derived category of a tubular algebra.- A numerical characterization of finite Auslander-Reiten quivers.- Curve singularities arising from the representation theory of tame hereditary algebras.- Artin algebras which are equivalent to a hereditary algebra modulo preprojectives.- Zero relation algebras with oriented cycles of non invertible morphisms.- The norm of a relation.- Selfinjective algebras and tilting theory.- Applications of reflection functors for selfinjective algebras.- Preinjective components of trees.- On indecomposables in preprojective components.- Representation theory I - Finite dimensional algebras.

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