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.
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.
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.
Andrzej Skowroński (1984)
Colloquium Mathematicae
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Klaus Bongartz (1995)
Annales scientifiques de l'École Normale Supérieure
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Piotr Malicki, Andrzej Skowroński, Bertha Tomé (2002)
Colloquium Mathematicae
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We describe the structure of all indecomposable modules in standard coils of the Auslander-Reiten quivers of finite-dimensional algebras over an algebraically closed field. We prove that the supports of such modules are obtained from algebras with sincere standard stable tubes by adding braids of two linear quivers. As an application we obtain a complete classification of non-directing indecomposable modules over all strongly simply connected algebras of polynomial growth.
Clezio A. Braga, Flávio U. Coelho (2009)
Colloquium Mathematicae
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We study the problem of when a direct limit of tilting modules is still a tilting module.
Andrzej Skowronski (1984)
Acta Universitatis Carolinae. Mathematica et Physica
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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.