Czechoslovak Mathematical Journal, Vol. 70, No. 1, pp. 147-160, 2020
Derived equivalences between generalized matrix algebras
QingHua Chen, HongJin Liu
Received April 18, 2018. Published online September 18, 2019.
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.
Affiliations: QingHua Chen, College of Mathematics and Informatics, Fujian Normal University, No. 1, University Town KeJi Road, Fuzhou 350117, P. R. China, e-mail: cqhmath@fjnu.edu.cn; HongJin Liu (corresponding author), College of Mathematics and Informatics, Fujian Normal University, No. 1, University Town KeJi Road, Fuzhou 350117, P. R. China, and School of Information Engineering, Longyan University, No. 1, DongXiao North Road, Longyan 364012, P. R. China, e-mail: hjliu005@sina.com