Polynomial growth trivial extensions of simply connected algebras
Jerzy Nehring, Andrzej Skowroński (1989)
Fundamenta Mathematicae
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Jerzy Nehring, Andrzej Skowroński (1989)
Fundamenta Mathematicae
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Nikolaos Marmaridis (1990)
Fundamenta Mathematicae
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Stanisław Kasjan (1998)
Colloquium Mathematicae
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Daniel Simson (1991)
Fundamenta 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)...
Green, J.A. (1985-1986)
Portugaliae mathematica
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Raymundo Bautista, Efrén Pérez, Leonardo Salmerón (2013)
Open Mathematics
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Given a convex algebra ∧0 in the tame finite-dimensional basic algebra ∧, over an algebraically closed field, we describe a special type of restriction of the generic ∧-modules.
Rüdiger Göbel, Daniel Simson (1998)
Colloquium Mathematicae
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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.
Zygmunt Pogorzały (1997)
Colloquium Mathematicae
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