Displaying similar documents to “On a class of tame symmetric algebras having only periodic modules”

A note on tilting sequences

Clezio Braga, Flávio Coelho (2008)

Open Mathematics

Similarity:

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

Similarity:

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.

Indecomposable modules in coils

Piotr Malicki, Andrzej Skowroński, Bertha Tomé (2002)

Colloquium Mathematicae

Similarity:

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.

On large selforthogonal modules

Gabriella D'Este (2006)

Commentationes Mathematicae Universitatis Carolinae

Similarity:

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

A note on quasitilted algebras

Andrzej Skowroński, Adam Skowyrski (2014)

Colloquium Mathematicae

Similarity:

We provide a characterization of artin algebras without chains of nonzero homomorphisms between indecomposable finitely generated modules starting with an injective module and ending with a projective module.

Limits of tilting modules

Clezio A. Braga, Flávio U. Coelho (2009)

Colloquium Mathematicae

Similarity:

We study the problem of when a direct limit of tilting modules is still a tilting module.