Displaying similar documents to “On components of the Auslander-Reiten quiver of trivial extensions of 2-fundamental algebras which contain projective modules”

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.

Directing components for quasitilted algebras

Flávio Coelho (1999)

Colloquium Mathematicae

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We show here that a directing component of the Auslander-Reiten quiver of a quasitilted algebra is either postprojective or preinjective or a connecting component.

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.

On large selforthogonal modules

Gabriella D'Este (2006)

Commentationes Mathematicae Universitatis Carolinae

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We construct non faithful direct summands of tilting (resp. cotilting) modules large enough to inherit a functorial tilting (resp. cotilting) behaviour.