Polynomial growth trivial extensions of simply connected algebras
Jerzy Nehring, Andrzej Skowroński (1989)
Fundamenta Mathematicae
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Displaying similar documents to “On indecomposable representations of quivers with zero-relations”
Polynomial growth trivial extensions of simply connected algebras
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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)...
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