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arXiv · 2010.03789

Piecewise hereditary algebras under field extensions

Jie Li
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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 $A\otimes_kK$.

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Jie Li. 2020-10-08. Piecewise hereditary algebras under field extensions. https://arxiv.org/abs/2010.03789

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