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Piecewise hereditary algebras under field extensions
Czechoslovak Mathematical Journal, Tome 71 (2021) no. 4, pp. 1025-1034
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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 $A\otimes _kK$.
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 $A\otimes _kK$.
DOI : 10.21136/CMJ.2021.0183-20
Classification : 16E35, 16G10
Keywords: piecewise hereditary algebra; Galois extension; directing object 
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Li, Jie. Piecewise hereditary algebras under field extensions. Czechoslovak Mathematical Journal, Tome 71 (2021) no. 4, pp. 1025-1034. doi: 10.21136/CMJ.2021.0183-20

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