On the numbers of discrete indecomposable modules over tame algebras
Andrzej Skowroński, Grzegorz Zwara (1997)
Colloquium Mathematicae
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Andrzej Skowroński, Grzegorz Zwara (1997)
Colloquium Mathematicae
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Grzegorz Zwara (1998)
Colloquium Mathematicae
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Rainer Nörenberg, Andrzej Skowroński (1997)
Colloquium Mathematicae
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Grzegorz Zwara (1997)
Colloquium Mathematicae
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José Antonio de la Peña, Andrzej Skowronski (2007)
Extracta Mathematicae
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Let A = kQ/I be a finite dimensional basic algebra over an algebraically closed field k presented by its quiver Q with relations I. A fundamental problem in the representation theory of algebras is to decide whether or not A is of tame or wild type. In this paper we consider triangular algebras A whose quiver Q has no oriented paths. We say that A is essentially sincere if there is an indecomposable (finite dimensional) A-module whose support contains all extreme vertices of Q. We prove...
J. de la Peña, M. Takane (1997)
Colloquium Mathematicae
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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.
Unger, Luise, Ungruhe, Michael (2004)
Beiträge zur Algebra und Geometrie
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Stroppel, Catharina (2003)
Journal of Lie Theory
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Marek Golasiński (1997)
Colloquium Mathematicae
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The aim of this paper is to present a starting point for proving existence of injective minimal models (cf. [8]) for some systems of complete differential graded algebras.