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Czechoslovak Mathematical Journal, Vol. 71, No. 4, pp. 1025-1034, 2021

Piecewise hereditary algebras under field extensions

Jie Li

Received May 7, 2020.   Published online June 28, 2021.
Abstract:  Let $A$ be a finite-dimensional $k$-algebra and $K/k$ be a finite separable field extension. We prove that $A$ is derived equivalent to a hereditary algebra if and only if so is $A\otimes_kK$.
Keywords:  piecewise hereditary algebra; Galois extension; directing object
Classification MSC:  16E35, 16G10
DOI:  10.21136/CMJ.2021.0183-20
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Affiliations:   Jie Li, University of Science and Technology of China, Jinzhai Road 96, Hefei 230026, Anhui Province, P. R. China, e-mail: lijie0@mail.ustc.edu.cn
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