Degenerations for indecomposable modules and tame algebras
Andrzej Skowroński, Grzegorz Zwara (1998)
Annales scientifiques de l'École Normale Supérieure
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Andrzej Skowroński, Grzegorz Zwara (1998)
Annales scientifiques de l'École Normale Supérieure
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Stanisław Kasjan (1998)
Colloquium Mathematicae
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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)...
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.
Andrzej Skowronski (1984)
Acta Universitatis Carolinae. Mathematica et Physica
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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.