Regular Auslander-Reiten components containing directing modules

Skowroński, Andrzej

doi:10.1090/S0002-9939-1994-1156473-X

Regular Auslander-Reiten components containing directing modules
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Proc. Amer. Math. Soc. 120 (1994), 19-26 Request permission

Abstract:

We describe completely all regular Auslander-Reiten components of artin algebras containing directing modules. We prove also that the Auslander-Reiten quiver of an artin algebra admits at most finitely many DTr-orbits containing directing modules.

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