On the structure of indecomposable modules over Artin algebras
Andrzej Skowroński (1984)
Colloquium Mathematicae
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Andrzej Skowroński (1984)
Colloquium Mathematicae
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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.
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.
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.
Zimmermann, Alexander (2003)
AMA. Algebra Montpellier Announcements [electronic only]
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R.Yue Chi Ming (1979)
Publications de l'Institut Mathématique [Elektronische Ressource]
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Alberto Facchini (1991)
Rendiconti del Seminario Matematico della Università di Padova
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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.
Gabriella D'Este, Dieter Happel (1990)
Rendiconti del Seminario Matematico della Università di Padova
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Paolo Zanardo (1990)
Rendiconti del Seminario Matematico della Università di Padova
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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.
Kalathoor Varadarajan (1992)
Publicacions Matemàtiques
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Let be a class or R-modules containing 0 and closed under isomorphic images. With any such we associate three classes Γ, F and Δ. The study of some of the closure properties of these classes allows us to obtain characterization of Artinian modules dualizing results of Chatters. The theory of Dual Glodie dimension as developed by the author in some of his earlier work plays a crucial role in the present paper.