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Tilting complexes and Auslander–Reiten conjecture

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Abstract

We studied the properties of tilting complexes and proved that derived equivalences preserve the validity of the Auslander–Reiten conjecture.

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Authors and Affiliations

  1. Institute of Mathematics, School of Mathematics Sciences, Nanjing Normal University, Nanjing, 210046, People’s Republic of China

    Jiaqun Wei

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  1. Jiaqun Wei
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Correspondence to Jiaqun Wei.

Additional information

J. Wei’s research is supported by the National Natural Science Foundation of China (Grant No. 10971099).

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Wei, J. Tilting complexes and Auslander–Reiten conjecture. Math. Z. 272, 431–441 (2012). https://doi.org/10.1007/s00209-011-0941-4

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  • DOI: https://doi.org/10.1007/s00209-011-0941-4

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