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Displaying similar documents to “Degenerations for representations of tame quivers”

Iterated coil enlargements of algebras

Bertha Tomé (1995)

Fundamenta Mathematicae

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Let Λ be a finite-dimensional, basic and connected algebra over an algebraically closed field, and mod Λ be the category of finitely generated right Λ-modules. We say that Λ has acceptable projectives if the indecomposable projective Λ-modules lie either in a preprojective component without injective modules or in a standard coil, and the standard coils containing projectives are ordered. We prove that for such an algebra Λ the following conditions are equivalent: (a) Λ is tame, (b)...

Quasitilted algebras have preprojective components

Ole Enge (2000)

Colloquium Mathematicae

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We show that a quasitilted algebra has a preprojective component. This is proved by giving an algorithmic criterion for the existence of preprojective components.

A note on tilting sequences

Clezio Braga, Flávio Coelho (2008)

Open Mathematics

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We discuss the existence of tilting modules which are direct limits of finitely generated tilting modules over tilted algebras.