Tilted algebras and short chains of modules

Abstract

We provide an affirmative answer for the question raised almost twenty years ago in [22] concerning the characterization of tilted artin algebras by the existence of a sincere finitely generated module which is not the middle of a short chain.

Description

The research supported by the Research Grant N N201 269135 of the Polish Ministry of Science and Higher Education.

Keywords

Auslander-Reiten quiver, tilted artin algebra, short chain of modules

Citation

Mathematische Zeitschrift 273 (2013), no. 1-2, 19-27

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