# Generalized Auslander-Reiten Conjecture and Derived Equivalences

```@article{Pan2011GeneralizedAC,
title={Generalized Auslander-Reiten Conjecture and Derived Equivalences},
author={Shengyong Pan},
journal={Communications in Algebra},
year={2011},
volume={41},
pages={3695 - 3704}
}```
In this note, we prove that the generalized Auslander-Reiten conjecture is preserved under derived equivalences between Artin algebras.
5 Citations
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Abstract We study derived invariance through syzygy complexes. In particular, we prove that syzygy-finite algebras and Igusa--Todorov algebras are invariant under derived equivalences. Consequently,Expand
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