One-directed indecomposable pure injective modules over string algebras
Mike Prest, Gena Puninski (2004)
Colloquium Mathematicae
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We classify one-directed indecomposable pure injective modules over finite-dimensional string algebras.
Mike Prest, Gena Puninski (2004)
Colloquium Mathematicae
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We classify one-directed indecomposable pure injective modules over finite-dimensional string algebras.
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.
Zygmunt Pogorzały, Karolina Szmyt (2008)
Colloquium Mathematicae
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A class of finite-dimensional algebras whose Auslander-Reiten quivers have starting but not generalized standard components is investigated. For these components the slices whose slice modules are tilting are considered. Moreover, the endomorphism algebras of tilting slice modules are characterized.
Andrzej Skowroński, Grzegorz Zwara (1998)
Annales scientifiques de l'École Normale Supérieure
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A. Skowronski, I. Assem (1992)
Mathematica Scandinavica
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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.
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.
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.
Hagen Meltzer (2001)
Colloquium Mathematicae
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Otto Kerner, Frank Lukas (1996)
Mathematische Zeitschrift
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Mamadou Shangare (1992)
Extracta Mathematicae
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Andrzej Skowroński, Adam Skowyrski (2014)
Colloquium Mathematicae
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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.
Dieter Happel, Luise Unger (1990)
Banach Center Publications
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