A characterization of representation-finite algebras
Skowroński, Andrzej ; Wenderlich, M.
Fundamenta Mathematicae, Tome 138 (1991), p. 31-34 / Harvested from The Polish Digital Mathematics Library
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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.

Publié le : 1991-01-01
EUDML-ID : urn:eudml:doc:211926 
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     title = {A characterization of representation-finite algebras},
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     year = {1991},
     pages = {31-34},
     zbl = {0808.16020},
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Skowroński, Andrzej; Wenderlich, M. A characterization of representation-finite algebras. Fundamenta Mathematicae, Tome 138 (1991) pp. 31-34. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-fmv140i1p31bwm/

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