Piecewise hereditary algebras under field extensions

Fuente: arXiv
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Auteur principal: Li, Jie
Format: Preprint
Publié: 2020
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author Li, Jie
author_facet Li, Jie
contents 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 $A\otimes_kK$.
format Preprint
id arxiv_https___arxiv_org_abs_2010_03789
institution arXiv
publishDate 2020
record_format arxiv
spellingShingle Piecewise hereditary algebras under field extensions
Li, Jie
Representation Theory
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 $A\otimes_kK$.
title Piecewise hereditary algebras under field extensions
topic Representation Theory
url https://arxiv.org/abs/2010.03789