Quasitilted extensions of algebras I

Coelho, Flávio; R. Martins, Maria; de la Peña, José

doi:10.1090/S0002-9939-00-05667-7

Quasitilted extensions of algebras I
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by Flávio Ulhoa Coelho, Maria Izabel R. Martins and José Antonio de la Peña PDF

Proc. Amer. Math. Soc. 129 (2001), 1289-1297 Request permission

Abstract:

Let $A$ be a connected finite dimensional $k$-algebra, and let $M$ be a nonzero decomposable $A$-module such that the one-point extension $A[M]$ is quasitilted. We show here that every nonzero indecomposable direct summand of $M$ is directing and $A$ is a tilted algebra.

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