Piecewise hereditary algebras under field extensions
Fuente:
arXiv
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| Auteur principal: | |
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| Format: | Preprint |
| Publié: |
2020
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| _version_ | 1866909946794213376 |
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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 |