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arXiv · 1506.03103

A new characterization of hereditary algebras

Yichao Yang·Jinde Xu
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Abstract

In this short paper we prove that a finite dimensional algebra is hereditary if and only if there is no loop in its ordinary quiver and every $\tau$-tilting module is tilting.

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Yichao Yang, Jinde Xu. 2015-06-09. A new characterization of hereditary algebras. https://arxiv.org/abs/1506.03103

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