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Derived Equivalences Between Generalized Matrix Algebras

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Abstract

We construct derived equivalences between generalized matrix algebras. We record several corollaries. In particular, we show that the n-replicated algebras of two derived equivalent, finite-dimensional algebras are also derived equivalent.

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Acknowledgement

The authors would like to thank the referees for reading the paper carefully and for many suggestions on mathematics and English expressions.

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Authors and Affiliations

  1. College of Mathematics and Informatics, Fujian Normal University, No. 1, University Town KeJi Road, Fuzhou, 350117, P. R. China

    QingHua Chen & HongJin Liu

  2. School of Information Engineering, Longyan University, No. 1, DongXiao North Road, Longyan, 364012, P. R. China

    HongJin Liu

Authors
  1. QingHua Chen
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  2. HongJin Liu
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Corresponding author

Correspondence to HongJin Liu.

Additional information

The research has been supported by National Natural Science Foundation of China (11871404) and Young and Middle-Aged Teacher Foundation of Fujian Provincial Education Department of China (JT180521, JAT160490).

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Chen, Q., Liu, H. Derived Equivalences Between Generalized Matrix Algebras. Czech Math J 70, 147–160 (2020). https://doi.org/10.21136/CMJ.2019.0196-18

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  • DOI: https://doi.org/10.21136/CMJ.2019.0196-18

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