Simply connected right multipeak algebras and the separation property

Kasjan, Stanisław

Colloquium Mathematicae, Tome 79 (1999), p. 137-153 / Harvested from The Polish Digital Mathematics Library

Résumé

Let R=k(Q,I) be a finite-dimensional algebra over a field k determined by a bound quiver (Q,I). We show that if R is a simply connected right multipeak algebra which is chord-free and $\widetilde{}$-free in the sense defined below then R has the separation property and there exists a preprojective component of the Auslander-Reiten quiver of the category prin(R) of prinjective R-modules. As a consequence we get in 4.6 a criterion for finite representation type of prin(R) in terms of the prinjective Tits quadratic form of R.

Détail

Publié le : 1999-01-01

Zbl 0953.16014

EUDML-ID : urn:eudml:doc:210746

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