On P-extending modules.
Kamal, M.A., Elmnophy, O.A. (2005)
Acta Mathematica Universitatis Comenianae. New Series
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Kamal, M.A., Elmnophy, O.A. (2005)
Acta Mathematica Universitatis Comenianae. New Series
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Andrzej Skowroński (2003)
Open Mathematics
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Let A be an artin algebra over a commutative artin ring R and ind A the category of indecomposable finitely generated right A-modules. Denote to be the full subcategory of ind A formed by the modules X whose all predecessors in ind A have projective dimension at most one, and by the full subcategory of ind A formed by the modules X whose all successors in ind A have injective dimension at most one. Recently, two classes of artin algebras A with co-finite in ind A, quasi-tilted...
Kamal, M.A., Sayed, A. (2007)
Acta Mathematica Universitatis Comenianae. New Series
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Alghamdi, Ahmad M., Makki, Makkiah S. (2010)
Acta Universitatis Apulensis. Mathematics - Informatics
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Buan, Aslak Bakke, Krause, Henning, Solberg, Øyvind (2002)
AMA. Algebra Montpellier Announcements [electronic only]
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Lidia Hügel, Helmut Valenta (1999)
Colloquium Mathematicae
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Over an artinian hereditary ring R, we discuss how the existence of almost split sequences starting at the indecomposable non-injective preprojective right R-modules is related to the existence of almost split sequences ending at the indecomposable non-projective preinjective left R-modules. This answers a question raised by Simson in [27] in connection with pure semisimple rings.
Andrzej Skowroński, M. Wenderlich (1991)
Fundamenta Mathematicae
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Let A be a finite-dimensional, basic, connected algebra over an algebraically closed field. Denote by Γ(A) the Auslander-Reiten quiver of A. We show that A is representation-finite if and only if Γ(A) has at most finitely many vertices lying on oriented cycles and finitely many orbits with respect to the action of the Auslander-Reiten translation.
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.
Grzegorz Zwara (1997)
Colloquium Mathematicae
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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.