Auslander-reiten components determined by their composition factors

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American Mathematical Society

Abstract

We provide su cient conditions for a component of the Auslander- Reiten quiver of an artin algebra to be determined by the composition factors of its indecomposable modules

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

Keywords

Auslander-Reiten quiver, component quiver, composition factors

Citation

Proceedings of the American Mathematical Society 140 (2012), no. 12, 4131--4140

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