Minimal bipartite algebras of infinite prinjective type with prin-preprojective component
Stanisław Kasjan (1998)
Colloquium Mathematicae
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Stanisław Kasjan (1998)
Colloquium Mathematicae
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Zygmunt Pogorzały, Karolina Szmyt (2007)
Open Mathematics
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We consider a class of algebras whose Auslander-Reiten quivers have starting components that are not generalized standard. For these components we introduce a generalization of a slice and show that only in finitely many cases (up to isomorphism) a slice module is a tilting module.
Gabriella D'Este (2006)
Commentationes Mathematicae Universitatis Carolinae
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We construct non faithful direct summands of tilting (resp. cotilting) modules large enough to inherit a functorial tilting (resp. cotilting) behaviour.
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.
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)...
Ibrahim Assem, Dan Zacharia (1999)
Colloquium Mathematicae
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Let R be a split extension of an artin algebra A by a nilpotent bimodule , and let M be an indecomposable non-projective A-module. We show that the almost split sequences ending with M in mod A and mod R coincide if and only if = 0 and .
Rüdiger Göbel, Daniel Simson (1998)
Colloquium Mathematicae
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Nikolaos Marmaridis (1990)
Fundamenta Mathematicae
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